diff --git a/planner/core/cbo_test.go b/planner/core/cbo_test.go
index fee08d6866ed0..46d0f57795a32 100644
--- a/planner/core/cbo_test.go
+++ b/planner/core/cbo_test.go
@@ -747,6 +747,32 @@ func (s *testAnalyzeSuite) TestInconsistentEstimation(c *C) {
 		))
 }
 
+func (s *testAnalyzeSuite) TestJoinWithHistogram(c *C) {
+	defer testleak.AfterTest(c)()
+	store, dom, err := newStoreWithBootstrap()
+	c.Assert(err, IsNil)
+	tk := testkit.NewTestKit(c, store)
+	defer func() {
+		dom.Close()
+		store.Close()
+	}()
+	tk.MustExec("use test")
+	tk.MustExec("create table t(a int primary key, b int, index idx(b))")
+	tk.MustExec("create table tt(a int primary key, b int, index idx(b))")
+	tk.MustExec("insert into t values(1, 1), (2, 1), (3, 1), (4, 2), (5, 2), (6, 2), (7, 3), (8, 4), (9, 5)")
+	tk.MustExec("insert into tt values(1, 1), (3, 1), (5, 1), (7, 2), (9, 3), (15, 4)")
+	tk.MustExec("analyze table t, tt")
+	tk.MustExec("set @@session.tidb_optimizer_selectivity_level=1")
+	tk.MustQuery("explain select * from t t1 join tt t2 where t1.a=t2.a").Check(testkit.Rows(
+		"Projection_7 5.00 root t1.a, t1.b, t2.a, t2.b",
+		"└─IndexJoin_11 5.00 root inner join, inner:TableReader_10, outer key:t2.a, inner key:t1.a",
+		"  ├─TableReader_24 6.00 root data:TableScan_23",
+		"  │ └─TableScan_23 6.00 cop table:t2, range:[-inf,+inf], keep order:false",
+		"  └─TableReader_10 1.00 root data:TableScan_9",
+		"    └─TableScan_9 1.00 cop table:t1, range: decided by [t2.a], keep order:false",
+	))
+}
+
 func newStoreWithBootstrap() (kv.Storage, *domain.Domain, error) {
 	store, err := mockstore.NewMockTikvStore()
 	if err != nil {
diff --git a/planner/core/stats.go b/planner/core/stats.go
index eadafd4961541..1436a0d1d74cf 100644
--- a/planner/core/stats.go
+++ b/planner/core/stats.go
@@ -75,6 +75,15 @@ func (p *baseLogicalPlan) DeriveStats(childStats []*property.StatsInfo) (*proper
 	return profile, nil
 }
 
+func allStatsHasHistColl(stats []*property.StatsInfo) bool {
+	for _, s := range stats {
+		if s.HistColl == nil {
+			return false
+		}
+	}
+	return true
+}
+
 func (ds *DataSource) getStatsByFilter(conds expression.CNFExprs) (*property.StatsInfo, *statistics.HistColl) {
 	profile := &property.StatsInfo{
 		RowCount:       float64(ds.statisticTable.Count),
@@ -281,6 +290,9 @@ func (p *LogicalJoin) DeriveStats(childStats []*property.StatsInfo) (*property.S
 		leftKeys = append(leftKeys, eqCond.GetArgs()[0].(*expression.Column))
 		rightKeys = append(rightKeys, eqCond.GetArgs()[1].(*expression.Column))
 	}
+	if p.JoinType == InnerJoin && p.ctx.GetSessionVars().OptimizerSelectivityLevel >= 1 && allStatsHasHistColl(childStats) {
+		return p.deriveInnerJoinStatsWithHist(leftKeys, rightKeys, childStats)
+	}
 	leftKeyCardinality := getCardinality(leftKeys, p.children[0].Schema(), leftProfile)
 	rightKeyCardinality := getCardinality(rightKeys, p.children[1].Schema(), rightProfile)
 	count := leftProfile.RowCount * rightProfile.RowCount / math.Max(leftKeyCardinality, rightKeyCardinality)
@@ -302,6 +314,97 @@ func (p *LogicalJoin) DeriveStats(childStats []*property.StatsInfo) (*property.S
 	return p.stats, nil
 }
 
+func (p *LogicalJoin) deriveInnerJoinStatsWithHist(leftKeys, rightKeys []*expression.Column, childStats []*property.StatsInfo) (*property.StatsInfo, error) {
+	leftChild, rightChild := p.children[0], p.children[1]
+	leftProfile, rightProfile := childStats[0], childStats[1]
+
+	cardinality := make([]float64, 0, p.schema.Len())
+	cardinality = append(cardinality, leftProfile.Cardinality...)
+	cardinality = append(cardinality, rightProfile.Cardinality...)
+
+	finalNdv, leftNdv, rightNdv := math.MaxFloat64, float64(1), float64(1)
+	newColID2Hist := make(map[int64]*statistics.Column)
+
+	// TODO: Support using index histogram to calculate the NDV after join and the final row count.
+	for i := range leftKeys {
+		leftHist, ok1 := leftProfile.HistColl.Columns[leftKeys[i].UniqueID]
+		rightHist, ok2 := rightProfile.HistColl.Columns[rightKeys[i].UniqueID]
+		if ok1 {
+			ok1 = !leftHist.IsInvalid(p.ctx.GetSessionVars().StmtCtx, leftProfile.HistColl.Pseudo)
+		}
+		if ok2 {
+			ok2 = !rightHist.IsInvalid(p.ctx.GetSessionVars().StmtCtx, rightProfile.HistColl.Pseudo)
+		}
+		lPos := leftChild.Schema().ColumnIndex(leftKeys[i])
+		rPos := rightChild.Schema().ColumnIndex(rightKeys[i])
+		var keyNdv float64
+		if ok1 && ok2 {
+			newHist := statistics.MergeHistogramForInnerJoin(&leftHist.Histogram, &rightHist.Histogram, leftKeys[i].RetType)
+			leftCol := &statistics.Column{Info: leftHist.Info, Histogram: *newHist}
+			rightCol := &statistics.Column{Info: rightHist.Info, Histogram: *newHist}
+			lIncreaseFactor := leftHist.GetIncreaseFactor(leftProfile.HistColl.Count)
+			// The factor is used to scale the NDV. When it's higher than one. NDV doesn't need to be changed.
+			if lIncreaseFactor > 1 {
+				lIncreaseFactor = 1
+			}
+			rIncreaseFactor := rightHist.GetIncreaseFactor(rightProfile.HistColl.Count)
+			if rIncreaseFactor > 1 {
+				rIncreaseFactor = 1
+			}
+			keyNdv = float64(newHist.NDV) * lIncreaseFactor * rIncreaseFactor
+			lPosNew := p.schema.ColumnIndex(leftKeys[i])
+			rPosNew := p.schema.ColumnIndex(rightKeys[i])
+			cardinality[lPosNew] = float64(newHist.NDV)
+			cardinality[rPosNew] = float64(newHist.NDV)
+			newColID2Hist[leftKeys[i].UniqueID] = leftCol
+			newColID2Hist[rightKeys[i].UniqueID] = rightCol
+		} else {
+			keyNdv = math.Min(leftChild.statsInfo().Cardinality[lPos], rightChild.statsInfo().Cardinality[rPos])
+		}
+		// Update the finalNdv using the most selective join key.
+		// TODO: support using index to enhance its accuracy
+		if finalNdv > keyNdv {
+			finalNdv = keyNdv
+			leftNdv = leftProfile.Cardinality[lPos]
+			rightNdv = rightProfile.Cardinality[rPos]
+		}
+	}
+	var count float64 = 0
+	if leftNdv != 0 || rightNdv != 0 {
+		count = leftProfile.RowCount / leftNdv * rightProfile.RowCount / rightNdv * finalNdv
+	}
+
+	// Update left column map in `HistColl`.
+	for uniqID, colHist := range leftProfile.HistColl.Columns {
+		_, ok := newColID2Hist[uniqID]
+		if ok {
+			continue
+		}
+		newColID2Hist[uniqID] = colHist
+	}
+
+	// Update right column map in `HistColl`.
+	for uniqID, colHist := range rightProfile.HistColl.Columns {
+		_, ok := newColID2Hist[uniqID]
+		if ok {
+			continue
+		}
+		newColID2Hist[uniqID] = colHist
+	}
+
+	// TODO: support calculate index histogram.
+	newHistColl := &statistics.HistColl{
+		Count:   int64(count),
+		Columns: newColID2Hist,
+	}
+	p.stats = &property.StatsInfo{
+		RowCount:    count,
+		Cardinality: cardinality,
+		HistColl:    newHistColl,
+	}
+	return p.stats, nil
+}
+
 // DeriveStats implement LogicalPlan DeriveStats interface.
 func (la *LogicalApply) DeriveStats(childStats []*property.StatsInfo) (*property.StatsInfo, error) {
 	leftProfile := childStats[0]
diff --git a/planner/core/stats_test.go b/planner/core/stats_test.go
new file mode 100644
index 0000000000000..9546cd865d90f
--- /dev/null
+++ b/planner/core/stats_test.go
@@ -0,0 +1,150 @@
+// Copyright 2018 PingCAP, Inc.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+package core
+
+import (
+	"encoding/json"
+	"io/ioutil"
+	"path/filepath"
+
+	. "github.com/pingcap/check"
+	"github.com/pingcap/errors"
+	"github.com/pingcap/parser"
+	"github.com/pingcap/parser/ast"
+	"github.com/pingcap/parser/model"
+	"github.com/pingcap/tidb/ddl"
+	"github.com/pingcap/tidb/expression"
+	"github.com/pingcap/tidb/planner/property"
+	"github.com/pingcap/tidb/sessionctx"
+	"github.com/pingcap/tidb/statistics"
+	"github.com/pingcap/tidb/util/mock"
+)
+
+var _ = Suite(&testStatsSuite{})
+
+type testStatsSuite struct {
+	ctx sessionctx.Context
+}
+
+func (s *testStatsSuite) SetUpTest(c *C) {
+	s.ctx = mock.NewContext()
+}
+
+func (s *testStatsSuite) loadStatsByFileName(t string, tbl *model.TableInfo) (*statistics.HistColl, error) {
+	statsTbl := &statistics.JSONTable{}
+	path := filepath.Join("testdata", t)
+	bytes, err := ioutil.ReadFile(path)
+	if err != nil {
+		return nil, errors.Trace(err)
+	}
+	err = json.Unmarshal(bytes, statsTbl)
+	if err != nil {
+		return nil, errors.Trace(err)
+	}
+
+	coll, err := statistics.HistCollFromJSON(tbl, tbl.ID, statsTbl)
+
+	return coll, err
+}
+
+func (s *testStatsSuite) mockTableInfo(sql string, tblID int64) (*model.TableInfo, error) {
+	stmt, err := parser.New().ParseOneStmt(sql, "", "")
+	if err != nil {
+		return nil, errors.Trace(err)
+	}
+	mockTbl, err := ddl.MockTableInfo(mock.NewContext(), stmt.(*ast.CreateTableStmt), tblID)
+	return mockTbl, err
+}
+
+func (s *testStatsSuite) TestInnerJoinStats(c *C) {
+	// t1's values are (i, i) where i = 1..9. Each pair appears once.
+	t1Tbl, err := s.mockTableInfo("create table t1(a int, b int, index a(a, b))", 1)
+	c.Assert(err, IsNil)
+	t1Coll, err := s.loadStatsByFileName("t1.json", t1Tbl)
+	c.Assert(err, IsNil)
+	t1ExprCols := expression.ColumnInfos2ColumnsWithDBName(s.ctx, model.NewCIStr("test"), t1Tbl.Name, t1Tbl.Columns)
+	t1FinalColl := t1Coll.GenerateHistCollFromColumnInfo(t1Tbl.Columns, t1ExprCols)
+	t1StatsInfo := &property.StatsInfo{
+		RowCount:    float64(t1Coll.Count),
+		Cardinality: make([]float64, len(t1ExprCols)),
+		HistColl:    t1FinalColl,
+	}
+	for i := range t1ExprCols {
+		t1StatsInfo.Cardinality[i] = float64(t1FinalColl.Columns[t1ExprCols[i].UniqueID].NDV)
+	}
+	t1Child := DataSource{}.Init(s.ctx)
+	t1Child.schema = expression.NewSchema(t1ExprCols...)
+	t1Child.stats = t1StatsInfo
+
+	t2Tbl, err := s.mockTableInfo("create table t2(a int, b int, index a(a, b))", 2)
+	c.Assert(err, IsNil)
+	// t2's values are (i, i) where i = 8..15. Each pair appears once.
+	t2Coll, err := s.loadStatsByFileName("t2.json", t2Tbl)
+	c.Assert(err, IsNil)
+	t2ExprCols := expression.ColumnInfos2ColumnsWithDBName(s.ctx, model.NewCIStr("test"), t2Tbl.Name, t2Tbl.Columns)
+	t2FinalColl := t2Coll.GenerateHistCollFromColumnInfo(t2Tbl.Columns, t2ExprCols)
+	t2StatsInfo := &property.StatsInfo{
+		RowCount:    float64(t2Coll.Count),
+		Cardinality: make([]float64, len(t2ExprCols)),
+		HistColl:    t2FinalColl,
+	}
+	for i := range t2ExprCols {
+		t2StatsInfo.Cardinality[i] = float64(t2FinalColl.Columns[t2ExprCols[i].UniqueID].NDV)
+	}
+	t2Child := DataSource{}.Init(s.ctx)
+	t2Child.schema = expression.NewSchema(t2ExprCols...)
+	t2Child.stats = t2StatsInfo
+
+	join := LogicalJoin{}.Init(s.ctx)
+	join.SetChildren(t1Child, t2Child)
+	join.schema = expression.MergeSchema(t1Child.schema, t2Child.schema)
+	finalStats, err := join.deriveInnerJoinStatsWithHist([]*expression.Column{t1Child.schema.Columns[0]}, []*expression.Column{t2Child.schema.Columns[0]}, []*property.StatsInfo{t1StatsInfo, t2StatsInfo})
+	c.Assert(err, IsNil)
+	c.Assert(finalStats.RowCount, Equals, float64(2))
+	c.Assert(len(finalStats.HistColl.Columns), Equals, 4)
+	ans1 := `column:0 ndv:2 totColSize:0
+num: 1 lower_bound: 8 upper_bound: 8 repeats: 1
+num: 1 lower_bound: 9 upper_bound: 9 repeats: 1`
+	c.Assert(finalStats.HistColl.Columns[1].String(), Equals, ans1)
+	ans2 := `column:2 ndv:9 totColSize:9
+num: 1 lower_bound: 1 upper_bound: 1 repeats: 1
+num: 1 lower_bound: 2 upper_bound: 2 repeats: 1
+num: 1 lower_bound: 3 upper_bound: 3 repeats: 1
+num: 1 lower_bound: 4 upper_bound: 4 repeats: 1
+num: 1 lower_bound: 5 upper_bound: 5 repeats: 1
+num: 1 lower_bound: 6 upper_bound: 6 repeats: 1
+num: 1 lower_bound: 7 upper_bound: 7 repeats: 1
+num: 1 lower_bound: 8 upper_bound: 8 repeats: 1
+num: 1 lower_bound: 9 upper_bound: 9 repeats: 1`
+	c.Assert(finalStats.HistColl.Columns[2].String(), Equals, ans2)
+	c.Assert(finalStats.HistColl.Columns[3].String(), Equals, ans1)
+	ans4 := `column:2 ndv:8 totColSize:8
+num: 1 lower_bound: 8 upper_bound: 8 repeats: 1
+num: 1 lower_bound: 9 upper_bound: 9 repeats: 1
+num: 1 lower_bound: 10 upper_bound: 10 repeats: 1
+num: 1 lower_bound: 11 upper_bound: 11 repeats: 1
+num: 1 lower_bound: 12 upper_bound: 12 repeats: 1
+num: 1 lower_bound: 13 upper_bound: 13 repeats: 1
+num: 1 lower_bound: 14 upper_bound: 14 repeats: 1
+num: 1 lower_bound: 15 upper_bound: 15 repeats: 1`
+	c.Assert(finalStats.HistColl.Columns[4].String(), Equals, ans4)
+	t2StatsInfo.RowCount /= 2
+	t2StatsInfo.HistColl.Count /= 2
+	for i := range t2StatsInfo.Cardinality {
+		t2StatsInfo.Cardinality[i] /= 2
+	}
+	finalStats, err = join.deriveInnerJoinStatsWithHist([]*expression.Column{t1Child.schema.Columns[0]}, []*expression.Column{t2Child.schema.Columns[0]}, []*property.StatsInfo{t1StatsInfo, t2StatsInfo})
+	c.Assert(err, IsNil)
+	c.Assert(finalStats.RowCount, Equals, float64(1))
+}
diff --git a/planner/core/testdata/t1.json b/planner/core/testdata/t1.json
new file mode 100644
index 0000000000000..84e7531c99a5b
--- /dev/null
+++ b/planner/core/testdata/t1.json
@@ -0,0 +1 @@
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diff --git a/planner/core/testdata/t2.json b/planner/core/testdata/t2.json
new file mode 100644
index 0000000000000..3302017cfe2d2
--- /dev/null
+++ b/planner/core/testdata/t2.json
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\ No newline at end of file
diff --git a/statistics/dump.go b/statistics/dump.go
index e6043e9b2109d..48ca89a349fac 100644
--- a/statistics/dump.go
+++ b/statistics/dump.go
@@ -171,7 +171,21 @@ func (h *Handle) loadStatsFromJSON(tableInfo *model.TableInfo, physicalID int64,
 
 // TableStatsFromJSON loads statistic from JSONTable and return the Table of statistic.
 func TableStatsFromJSON(tableInfo *model.TableInfo, physicalID int64, jsonTbl *JSONTable) (*Table, error) {
-	newHistColl := HistColl{
+	coll, err := HistCollFromJSON(tableInfo, physicalID, jsonTbl)
+	if err != nil {
+		return nil, err
+	}
+
+	tbl := &Table{
+		HistColl: *coll,
+	}
+
+	return tbl, nil
+}
+
+// HistCollFromJSON build HistColl from JSONTable.
+func HistCollFromJSON(tableInfo *model.TableInfo, physicalID int64, jsonTbl *JSONTable) (*HistColl, error) {
+	newHistColl := &HistColl{
 		PhysicalID:     physicalID,
 		HavePhysicalID: true,
 		Count:          jsonTbl.Count,
@@ -179,9 +193,6 @@ func TableStatsFromJSON(tableInfo *model.TableInfo, physicalID int64, jsonTbl *J
 		Columns:        make(map[int64]*Column, len(jsonTbl.Columns)),
 		Indices:        make(map[int64]*Index, len(jsonTbl.Indices)),
 	}
-	tbl := &Table{
-		HistColl: newHistColl,
-	}
 	for id, jsonIdx := range jsonTbl.Indices {
 		for _, idxInfo := range tableInfo.Indices {
 			if idxInfo.Name.L != id {
@@ -194,7 +205,7 @@ func TableStatsFromJSON(tableInfo *model.TableInfo, physicalID int64, jsonTbl *J
 				CMSketch:  CMSketchFromProto(jsonIdx.CMSketch),
 				Info:      idxInfo,
 			}
-			tbl.Indices[idx.ID] = idx
+			newHistColl.Indices[idx.ID] = idx
 		}
 	}
 
@@ -208,7 +219,7 @@ func TableStatsFromJSON(tableInfo *model.TableInfo, physicalID int64, jsonTbl *J
 			sc := &stmtctx.StatementContext{TimeZone: time.UTC}
 			hist, err := hist.ConvertTo(sc, &colInfo.FieldType)
 			if err != nil {
-				return nil, errors.Trace(err)
+				return nil, err
 			}
 			hist.ID, hist.NullCount, hist.LastUpdateVersion, hist.TotColSize = colInfo.ID, jsonCol.NullCount, jsonCol.LastUpdateVersion, jsonCol.TotColSize
 			col := &Column{
@@ -219,8 +230,8 @@ func TableStatsFromJSON(tableInfo *model.TableInfo, physicalID int64, jsonTbl *J
 				Count:      count,
 				isHandle:   tableInfo.PKIsHandle && mysql.HasPriKeyFlag(colInfo.Flag),
 			}
-			tbl.Columns[col.ID] = col
+			newHistColl.Columns[col.ID] = col
 		}
 	}
-	return tbl, nil
+	return newHistColl, nil
 }
diff --git a/statistics/feedback.go b/statistics/feedback.go
index fcbe5b6e51b12..4d5385de33420 100644
--- a/statistics/feedback.go
+++ b/statistics/feedback.go
@@ -832,11 +832,11 @@ func (q *QueryFeedback) recalculateExpectCount(h *Handle) error {
 	if isIndex {
 		idx := t.Indices[id]
 		expected, err = idx.getRowCount(sc, ranges, t.ModifyCount)
-		expected *= idx.getIncreaseFactor(t.Count)
+		expected *= idx.GetIncreaseFactor(t.Count)
 	} else {
 		c := t.Columns[id]
 		expected, err = c.getColumnRowCount(sc, ranges, t.ModifyCount)
-		expected *= c.getIncreaseFactor(t.Count)
+		expected *= c.GetIncreaseFactor(t.Count)
 	}
 	if err != nil {
 		return errors.Trace(err)
@@ -981,13 +981,13 @@ func (q *QueryFeedback) logDetailedInfo(h *Handle) {
 		if idx == nil || idx.Histogram.Len() == 0 {
 			return
 		}
-		logForIndex(logPrefix, t, idx, ranges, actual, idx.getIncreaseFactor(t.Count))
+		logForIndex(logPrefix, t, idx, ranges, actual, idx.GetIncreaseFactor(t.Count))
 	} else {
 		c := t.Columns[q.hist.ID]
 		if c == nil || c.Histogram.Len() == 0 {
 			return
 		}
-		logForPK(logPrefix, c, ranges, actual, c.getIncreaseFactor(t.Count))
+		logForPK(logPrefix, c, ranges, actual, c.GetIncreaseFactor(t.Count))
 	}
 }
 
@@ -1030,7 +1030,7 @@ func dumpFeedbackForIndex(h *Handle, q *QueryFeedback, t *Table) error {
 			log.Debug("encode keys failed: err", err)
 			continue
 		}
-		equalityCount := float64(idx.CMSketch.QueryBytes(bytes)) * idx.getIncreaseFactor(t.Count)
+		equalityCount := float64(idx.CMSketch.QueryBytes(bytes)) * idx.GetIncreaseFactor(t.Count)
 		rang := ranger.Range{
 			LowVal:  []types.Datum{ran.LowVal[rangePosition]},
 			HighVal: []types.Datum{ran.HighVal[rangePosition]},
diff --git a/statistics/histogram.go b/statistics/histogram.go
index c594efc338b2f..6b06ca0de61c9 100644
--- a/statistics/histogram.go
+++ b/statistics/histogram.go
@@ -21,6 +21,7 @@ import (
 	"strings"
 	"time"
 
+	"github.com/cznic/mathutil"
 	"github.com/pingcap/errors"
 	"github.com/pingcap/parser/model"
 	"github.com/pingcap/parser/mysql"
@@ -478,6 +479,10 @@ func (hg *Histogram) notNullCount() float64 {
 	return float64(hg.Buckets[hg.Len()-1].Count)
 }
 
+func (hg *Histogram) notNullRowCount() float64 {
+	return float64(hg.Buckets[hg.Len()-1].Count)
+}
+
 // mergeBuckets is used to merge every two neighbor buckets.
 func (hg *Histogram) mergeBuckets(bucketIdx int) {
 	curBuck := 0
@@ -499,8 +504,8 @@ func (hg *Histogram) mergeBuckets(bucketIdx int) {
 	return
 }
 
-// getIncreaseFactor will return a factor of data increasing after the last analysis.
-func (hg *Histogram) getIncreaseFactor(totalCount int64) float64 {
+// GetIncreaseFactor will return a factor of data increasing after the last analysis.
+func (hg *Histogram) GetIncreaseFactor(totalCount int64) float64 {
 	columnCount := hg.totalRowCount()
 	if columnCount == 0 {
 		// avoid dividing by 0
@@ -692,7 +697,7 @@ func MergeHistograms(sc *stmtctx.StatementContext, lh *Histogram, rh *Histogram,
 
 // AvgCountPerNotNullValue gets the average row count per value by the data of histogram.
 func (hg *Histogram) AvgCountPerNotNullValue(totalCount int64) float64 {
-	factor := hg.getIncreaseFactor(totalCount)
+	factor := hg.GetIncreaseFactor(totalCount)
 	totalNotNull := hg.notNullCount() * factor
 	curNDV := float64(hg.NDV) * factor
 	if curNDV == 0 {
@@ -709,6 +714,71 @@ func (hg *Histogram) outOfRange(val types.Datum) bool {
 		chunk.Compare(hg.Bounds.GetRow(hg.Bounds.NumRows()-1), 0, &val) < 0
 }
 
+// MergeHistogramForInnerJoin merges two histogram into one for inner join.
+func MergeHistogramForInnerJoin(lSide *Histogram, rSide *Histogram, tp *types.FieldType) *Histogram {
+	cmpFunc := chunk.GetCompareFunc(tp)
+	lAvgPerVal := lSide.notNullRowCount() / float64(lSide.NDV)
+	rAvgPerVal := rSide.notNullRowCount() / float64(rSide.NDV)
+	totCnt := int64(0)
+	totNdv := float64(0)
+	newHist := NewHistogram(0, 0, 0, 0, tp, mathutil.Max(len(lSide.Buckets), len(rSide.Buckets)), 0)
+	for i, j := 0, 0; i < lSide.Len() && j < rSide.Len(); {
+		lLow := lSide.Bounds.GetRow(i * 2)
+		lHigh := lSide.Bounds.GetRow(i*2 + 1)
+		rLow := rSide.Bounds.GetRow(j * 2)
+		rHigh := rSide.Bounds.GetRow(j*2 + 1)
+		// If [lLow, lHigh] is totally behind [rLow, rHigh], move r point.
+		if cmpFunc(lLow, 0, rHigh, 0) > 0 {
+			j += 1
+			continue
+		}
+		// If [rLow, rHigh] is totally behind [lLow, lHigh], move l point.
+		if cmpFunc(rLow, 0, lHigh, 0) > 0 {
+			i += 1
+			continue
+		}
+		var overlapLow, overLapHigh chunk.Row
+		if cmpFunc(lLow, 0, rLow, 0) > 0 {
+			overlapLow = lLow
+		} else {
+			overlapLow = rLow
+		}
+		if cmpFunc(lHigh, 0, rHigh, 0) > 0 {
+			overLapHigh = rHigh
+		} else {
+			overLapHigh = lHigh
+		}
+		// Calculate overlap ratio.
+		leftOverLap := lSide.calcRangeFraction(i, overlapLow, overLapHigh)
+		rightOverLap := rSide.calcRangeFraction(j, overlapLow, overLapHigh)
+		lCount := float64(lSide.bucketCount(i)) * leftOverLap
+		rCount := float64(rSide.bucketCount(j)) * rightOverLap
+		lNdv := lCount / lAvgPerVal
+		rNdv := rCount / rAvgPerVal
+		// bucketCount is lCount/lNdv * rCount/rNdv * finalNdv, where finalNdv is min(lNdv, rNdv).
+		bucketCount := lAvgPerVal * rAvgPerVal * math.Min(lNdv, rNdv)
+		// Update histogram.
+		totCnt += int64(bucketCount)
+		newHist.Bounds.AppendRow(overlapLow)
+		newHist.Bounds.AppendRow(overLapHigh)
+		newHist.Buckets = append(newHist.Buckets, Bucket{Count: totCnt, Repeat: int64(bucketCount / math.Min(lNdv, rNdv))})
+		totNdv += math.Min(lNdv, rNdv)
+		// Move i and j by compare result.
+		switch cmpFunc(lHigh, 0, rHigh, 0) {
+		case -1:
+			i += 1
+		case 0:
+			i += 1
+			j += 1
+		case 1:
+			j += 1
+		}
+	}
+	newHist.NDV = int64(totNdv)
+	newHist.PreCalculateScalar()
+	return newHist
+}
+
 // ErrorRate is the error rate of estimate row count by bucket and cm sketch.
 type ErrorRate struct {
 	ErrorTotal float64
diff --git a/statistics/histogram_test.go b/statistics/histogram_test.go
index 73b7daaa64ecc..37c5999e041ac 100644
--- a/statistics/histogram_test.go
+++ b/statistics/histogram_test.go
@@ -24,6 +24,47 @@ import (
 	"github.com/pingcap/tidb/util/ranger"
 )
 
+var _ = Suite(&HistogramTestSuite{})
+
+type HistogramTestSuite struct {
+}
+
+func (s *HistogramTestSuite) TestMergeHistogramForInnerJoinIntCase(c *C) {
+	intTp := types.NewFieldType(mysql.TypeLonglong)
+	// aHist: 60 distinct value, each value repeats 2 times.
+	aHist := NewHistogram(0, 60, 0, 0, intTp, chunk.InitialCapacity, 0)
+	// [100, 200]
+	aHist.Bounds.AppendInt64(0, 100)
+	aHist.Bounds.AppendInt64(0, 200)
+	aHist.Buckets = append(aHist.Buckets, Bucket{Repeat: 2, Count: 100})
+	// [210, 230]
+	aHist.Bounds.AppendInt64(0, 210)
+	aHist.Bounds.AppendInt64(0, 230)
+	aHist.Buckets = append(aHist.Buckets, Bucket{Repeat: 2, Count: 120})
+	// bHist: 100 distinct value, each value repeats 100 times.
+	bHist := NewHistogram(0, 100, 0, 0, intTp, chunk.InitialCapacity, 0)
+	// [90, 120]
+	bHist.Bounds.AppendInt64(0, 90)
+	bHist.Bounds.AppendInt64(0, 120)
+	bHist.Buckets = append(bHist.Buckets, Bucket{Repeat: 100, Count: 3000})
+	// [130, 160]
+	bHist.Bounds.AppendInt64(0, 130)
+	bHist.Bounds.AppendInt64(0, 160)
+	bHist.Buckets = append(bHist.Buckets, Bucket{Repeat: 100, Count: 6000})
+	// [180, 220]
+	bHist.Bounds.AppendInt64(0, 180)
+	bHist.Bounds.AppendInt64(0, 220)
+	bHist.Buckets = append(bHist.Buckets, Bucket{Repeat: 100, Count: 10000})
+	finalHist := MergeHistogramForInnerJoin(aHist, bHist, intTp)
+
+	c.Assert(finalHist.ToString(0), Equals, `column:0 ndv:41 totColSize:0
+num: 2079 lower_bound: 100 upper_bound: 120 repeats: 200
+num: 3069 lower_bound: 130 upper_bound: 160 repeats: 200
+num: 2079 lower_bound: 180 upper_bound: 200 repeats: 200
+num: 1047 lower_bound: 210 upper_bound: 220 repeats: 200`)
+
+}
+
 func (s *testStatisticsSuite) TestNewHistogramBySelectivity(c *C) {
 	coll := &HistColl{
 		Count:   330,
diff --git a/statistics/scalar.go b/statistics/scalar.go
index 446a78a7383f6..e989127c33aed 100644
--- a/statistics/scalar.go
+++ b/statistics/scalar.go
@@ -20,6 +20,7 @@ import (
 	"github.com/pingcap/parser/mysql"
 	"github.com/pingcap/tidb/sessionctx/stmtctx"
 	"github.com/pingcap/tidb/types"
+	"github.com/pingcap/tidb/util/chunk"
 )
 
 // calcFraction is used to calculate the fraction of the interval [lower, upper] that lies within the [lower, value]
@@ -41,6 +42,16 @@ func calcFraction(lower, upper, value float64) float64 {
 	return frac
 }
 
+func calcRangeFraction(left, right, lInner, rInner float64) float64 {
+	if left == right {
+		if lInner == rInner && lInner == left {
+			return 1
+		}
+		return 0
+	}
+	return (rInner - lInner) / (right - left)
+}
+
 func convertDatumToScalar(value *types.Datum, commonPfxLen int) float64 {
 	switch value.Kind() {
 	case types.KindMysqlDecimal:
@@ -51,25 +62,7 @@ func convertDatumToScalar(value *types.Datum, commonPfxLen int) float64 {
 		return scalar
 	case types.KindMysqlTime:
 		valueTime := value.GetMysqlTime()
-		var minTime types.Time
-		switch valueTime.Type {
-		case mysql.TypeDate:
-			minTime = types.Time{
-				Time: types.MinDatetime,
-				Type: mysql.TypeDate,
-				Fsp:  types.DefaultFsp,
-			}
-		case mysql.TypeDatetime:
-			minTime = types.Time{
-				Time: types.MinDatetime,
-				Type: mysql.TypeDatetime,
-				Fsp:  types.DefaultFsp,
-			}
-		case mysql.TypeTimestamp:
-			minTime = types.MinTimestamp
-		}
-		sc := &stmtctx.StatementContext{TimeZone: types.BoundTimezone}
-		return float64(valueTime.Sub(sc, &minTime).Duration)
+		return convertTimeToScalar(&valueTime)
 	case types.KindString, types.KindBytes:
 		bytes := value.GetBytes()
 		if len(bytes) <= commonPfxLen {
@@ -82,6 +75,28 @@ func convertDatumToScalar(value *types.Datum, commonPfxLen int) float64 {
 	}
 }
 
+func convertTimeToScalar(t *types.Time) float64 {
+	var minTime types.Time
+	switch t.Type {
+	case mysql.TypeDate:
+		minTime = types.Time{
+			Time: types.MinDatetime,
+			Type: mysql.TypeDate,
+			Fsp:  types.DefaultFsp,
+		}
+	case mysql.TypeDatetime:
+		minTime = types.Time{
+			Time: types.MinDatetime,
+			Type: mysql.TypeDatetime,
+			Fsp:  types.DefaultFsp,
+		}
+	case mysql.TypeTimestamp:
+		minTime = types.MinTimestamp
+	}
+	sc := &stmtctx.StatementContext{TimeZone: types.BoundTimezone}
+	return float64(t.Sub(sc, &minTime).Duration)
+}
+
 // PreCalculateScalar converts the lower and upper to scalar. When the datum type is KindString or KindBytes, we also
 // calculate their common prefix length, because when a value falls between lower and upper, the common prefix
 // of lower and upper equals to the common prefix of the lower, upper and the value. For some simple types like `Int64`,
@@ -135,6 +150,43 @@ func (hg *Histogram) calcFraction(index int, value *types.Datum) float64 {
 	return 0.5
 }
 
+func (hg *Histogram) calcRangeFraction(index int, lInner, rInner chunk.Row) float64 {
+	left, right := hg.Bounds.GetRow(2*index), hg.Bounds.GetRow(2*index+1)
+	switch hg.Tp.Tp {
+	// TODO: support more types.
+	case mysql.TypeTiny, mysql.TypeShort, mysql.TypeInt24, mysql.TypeLong, mysql.TypeLonglong, mysql.TypeYear:
+		if mysql.HasUnsignedFlag(hg.Tp.Flag) {
+			return calcRangeFraction(float64(left.GetUint64(0)), float64(right.GetUint64(0))+1, float64(lInner.GetUint64(0)), float64(rInner.GetUint64(0))+1)
+		}
+		return calcRangeFraction(float64(left.GetInt64(0)), float64(right.GetInt64(0))+1, float64(lInner.GetInt64(0)), float64(rInner.GetInt64(0))+1)
+	case mysql.TypeFloat:
+		return calcRangeFraction(float64(left.GetFloat32(0)), float64(right.GetFloat32(0)), float64(lInner.GetFloat32(0)), float64(rInner.GetFloat32(0)))
+	case mysql.TypeDouble:
+		return calcRangeFraction(left.GetFloat64(0), right.GetFloat64(0), lInner.GetFloat64(0), rInner.GetFloat64(0))
+	case mysql.TypeString, mysql.TypeVarString, mysql.TypeVarchar,
+		mysql.TypeBlob, mysql.TypeTinyBlob, mysql.TypeMediumBlob, mysql.TypeLongBlob:
+		commonLen := commonPrefixLength(left.GetBytes(0), right.GetBytes(0))
+		return calcRangeFraction(hg.scalars[index].lower, hg.scalars[index].upper, convertBytesToScalar(lInner.GetBytes(0)[commonLen:]), convertBytesToScalar(rInner.GetBytes(0)[commonLen:]))
+	case mysql.TypeDate, mysql.TypeDatetime, mysql.TypeTimestamp:
+		lTime := lInner.GetTime(0)
+		rTime := rInner.GetTime(0)
+		return calcRangeFraction(hg.scalars[index].lower, hg.scalars[index].upper, convertTimeToScalar(&lTime), convertTimeToScalar(&rTime))
+	case mysql.TypeNewDecimal:
+		lDec, err := lInner.GetMyDecimal(0).ToFloat64()
+		if err != nil {
+			return 0
+		}
+		rDec, err := rInner.GetMyDecimal(0).ToFloat64()
+		if err != nil {
+			return 0
+		}
+		return calcRangeFraction(hg.scalars[index].lower, hg.scalars[index].upper, lDec, rDec)
+	case mysql.TypeDuration:
+		return calcRangeFraction(float64(left.GetDuration(0, 0).Duration), float64(right.GetDuration(0, 0).Duration), float64(lInner.GetDuration(0, 0).Duration), float64(rInner.GetDuration(0, 0).Duration))
+	}
+	return 0.5
+}
+
 func commonPrefixLength(lower, upper []byte) int {
 	minLen := len(lower)
 	if minLen > len(upper) {
diff --git a/statistics/scalar_test.go b/statistics/scalar_test.go
index 027294a075b62..4a71ded25193c 100644
--- a/statistics/scalar_test.go
+++ b/statistics/scalar_test.go
@@ -19,6 +19,7 @@ import (
 	. "github.com/pingcap/check"
 	"github.com/pingcap/parser/mysql"
 	"github.com/pingcap/tidb/types"
+	"github.com/pingcap/tidb/util/chunk"
 )
 
 const eps = 1e-9
@@ -165,6 +166,142 @@ func (s *testStatisticsSuite) TestCalcFraction(c *C) {
 		hg.AppendBucket(&test.lower, &test.upper, 0, 0)
 		hg.PreCalculateScalar()
 		fraction := hg.calcFraction(0, &test.value)
-		c.Check(math.Abs(fraction-test.fraction) < eps, IsTrue)
+		c.Assert(math.Abs(fraction-test.fraction) < eps, IsTrue)
+	}
+}
+
+func (s *testStatisticsSuite) TestCalcRangeFraction(c *C) {
+	tests := []struct {
+		lower    types.Datum
+		upper    types.Datum
+		lInner   types.Datum
+		uInner   types.Datum
+		fraction float64
+		tp       *types.FieldType
+	}{
+		{
+			lower:    types.NewIntDatum(0),
+			upper:    types.NewIntDatum(4),
+			lInner:   types.NewIntDatum(1),
+			uInner:   types.NewIntDatum(3),
+			fraction: 0.6,
+			tp:       types.NewFieldType(mysql.TypeLonglong),
+		},
+		{
+			lower:    types.NewIntDatum(0),
+			upper:    types.NewIntDatum(4),
+			lInner:   types.NewIntDatum(0),
+			uInner:   types.NewIntDatum(4),
+			fraction: 1,
+			tp:       types.NewFieldType(mysql.TypeLonglong),
+		},
+		{
+			lower:    types.NewUintDatum(0),
+			upper:    types.NewUintDatum(4),
+			lInner:   types.NewUintDatum(1),
+			uInner:   types.NewUintDatum(1),
+			fraction: 0.20,
+			tp:       getUnsignedFieldType(),
+		},
+		{
+			lower:    types.NewFloat64Datum(0),
+			upper:    types.NewFloat64Datum(4),
+			lInner:   types.NewFloat64Datum(1.5),
+			uInner:   types.NewFloat64Datum(2.5),
+			fraction: 0.25,
+			tp:       types.NewFieldType(mysql.TypeDouble),
+		},
+		{
+			lower:    types.NewFloat32Datum(0),
+			upper:    types.NewFloat32Datum(4),
+			lInner:   types.NewFloat32Datum(1),
+			uInner:   types.NewFloat32Datum(2),
+			fraction: 0.25,
+			tp:       types.NewFieldType(mysql.TypeFloat),
+		},
+		{
+			lower:    types.NewFloat32Datum(4),
+			upper:    types.NewFloat32Datum(4),
+			lInner:   types.NewFloat32Datum(4),
+			uInner:   types.NewFloat32Datum(4),
+			fraction: 1,
+			tp:       types.NewFieldType(mysql.TypeFloat),
+		},
+		{
+			lower:    types.NewDecimalDatum(getDecimal(0)),
+			upper:    types.NewDecimalDatum(getDecimal(4)),
+			lInner:   types.NewDecimalDatum(getDecimal(1)),
+			uInner:   types.NewDecimalDatum(getDecimal(1.5)),
+			fraction: 0.125,
+			tp:       types.NewFieldType(mysql.TypeNewDecimal),
+		},
+		{
+			lower:    types.NewMysqlBitDatum(getBinaryLiteral("0b0")),
+			upper:    types.NewMysqlBitDatum(getBinaryLiteral("0b100")),
+			lInner:   types.NewMysqlBitDatum(getBinaryLiteral("0b00")),
+			uInner:   types.NewMysqlBitDatum(getBinaryLiteral("0b10")),
+			fraction: 0.5,
+			tp:       types.NewFieldType(mysql.TypeBit),
+		},
+		{
+			lower:    types.NewDurationDatum(getDuration("0:00:00")),
+			upper:    types.NewDurationDatum(getDuration("4:00:00")),
+			lInner:   types.NewDurationDatum(getDuration("1:00:00")),
+			uInner:   types.NewDurationDatum(getDuration("2:00:00")),
+			fraction: 0.25,
+			tp:       types.NewFieldType(mysql.TypeDuration),
+		},
+		{
+			lower:    types.NewTimeDatum(getTime(2017, 1, 1, mysql.TypeTimestamp)),
+			upper:    types.NewTimeDatum(getTime(2017, 4, 1, mysql.TypeTimestamp)),
+			lInner:   types.NewTimeDatum(getTime(2017, 2, 1, mysql.TypeTimestamp)),
+			uInner:   types.NewTimeDatum(getTime(2017, 3, 1, mysql.TypeTimestamp)),
+			fraction: 0.3111111111111111,
+			tp:       types.NewFieldType(mysql.TypeTimestamp),
+		},
+		{
+			lower:    types.NewTimeDatum(getTime(2017, 1, 1, mysql.TypeDatetime)),
+			upper:    types.NewTimeDatum(getTime(2017, 4, 1, mysql.TypeDatetime)),
+			lInner:   types.NewTimeDatum(getTime(2017, 2, 1, mysql.TypeDatetime)),
+			uInner:   types.NewTimeDatum(getTime(2017, 3, 1, mysql.TypeDatetime)),
+			fraction: 0.3111111111111111,
+			tp:       types.NewFieldType(mysql.TypeDatetime),
+		},
+		{
+			lower:    types.NewTimeDatum(getTime(2017, 1, 1, mysql.TypeDate)),
+			upper:    types.NewTimeDatum(getTime(2017, 4, 1, mysql.TypeDate)),
+			lInner:   types.NewTimeDatum(getTime(2017, 2, 1, mysql.TypeDate)),
+			uInner:   types.NewTimeDatum(getTime(2017, 3, 1, mysql.TypeDate)),
+			fraction: 0.3111111111111111,
+			tp:       types.NewFieldType(mysql.TypeDate),
+		},
+		{
+			lower:    types.NewStringDatum("aasad"),
+			upper:    types.NewStringDatum("addad"),
+			lInner:   types.NewStringDatum("aafsd"),
+			uInner:   types.NewStringDatum("abfsd"),
+			fraction: 0.3399734395750332,
+			tp:       types.NewFieldType(mysql.TypeString),
+		},
+		{
+			lower:    types.NewBytesDatum([]byte("aasad")),
+			upper:    types.NewBytesDatum([]byte("asdff")),
+			lInner:   types.NewBytesDatum([]byte("aafsd")),
+			uInner:   types.NewBytesDatum([]byte("abfsd")),
+			fraction: 0.05573675368834722,
+			tp:       types.NewFieldType(mysql.TypeBlob),
+		},
+	}
+	for i, test := range tests {
+		hg := NewHistogram(0, 0, 0, 0, test.tp, 1, 0)
+		hg.AppendBucket(&test.lower, &test.upper, 0, 0)
+		hg.PreCalculateScalar()
+		chk := chunk.New([]*types.FieldType{test.tp}, 2, 2)
+		chk.AppendDatum(0, &test.lInner)
+		chk.AppendDatum(0, &test.uInner)
+		lInner := chk.GetRow(0)
+		uInner := chk.GetRow(1)
+		fraction := hg.calcRangeFraction(0, lInner, uInner)
+		c.Assert(math.Abs(fraction-test.fraction) < eps, IsTrue, Commentf("Failed at #%v, need: %v, got: %v", i, test.fraction, fraction))
 	}
 }
diff --git a/statistics/table.go b/statistics/table.go
index 0e0953a85e8a0..051651f3ad6c7 100644
--- a/statistics/table.go
+++ b/statistics/table.go
@@ -363,7 +363,7 @@ func (t *Table) ColumnGreaterRowCount(sc *stmtctx.StatementContext, value types.
 	if !ok || c.IsInvalid(sc, t.Pseudo) {
 		return float64(t.Count) / pseudoLessRate
 	}
-	return c.greaterRowCount(value) * c.getIncreaseFactor(t.Count)
+	return c.greaterRowCount(value) * c.GetIncreaseFactor(t.Count)
 }
 
 // ColumnLessRowCount estimates the row count where the column less than value.
@@ -372,7 +372,7 @@ func (t *Table) ColumnLessRowCount(sc *stmtctx.StatementContext, value types.Dat
 	if !ok || c.IsInvalid(sc, t.Pseudo) {
 		return float64(t.Count) / pseudoLessRate
 	}
-	return c.lessRowCount(value) * c.getIncreaseFactor(t.Count)
+	return c.lessRowCount(value) * c.GetIncreaseFactor(t.Count)
 }
 
 // ColumnBetweenRowCount estimates the row count where column greater or equal to a and less than b.
@@ -381,7 +381,7 @@ func (t *Table) ColumnBetweenRowCount(sc *stmtctx.StatementContext, a, b types.D
 	if !ok || c.IsInvalid(sc, t.Pseudo) {
 		return float64(t.Count) / pseudoBetweenRate
 	}
-	return c.betweenRowCount(a, b) * c.getIncreaseFactor(t.Count)
+	return c.betweenRowCount(a, b) * c.GetIncreaseFactor(t.Count)
 }
 
 // ColumnEqualRowCount estimates the row count where the column equals to value.
@@ -391,7 +391,7 @@ func (t *Table) ColumnEqualRowCount(sc *stmtctx.StatementContext, value types.Da
 		return float64(t.Count) / pseudoEqualRate, nil
 	}
 	result, err := c.equalRowCount(sc, value, t.ModifyCount)
-	result *= c.getIncreaseFactor(t.Count)
+	result *= c.GetIncreaseFactor(t.Count)
 	return result, errors.Trace(err)
 }
 
@@ -408,7 +408,7 @@ func (coll *HistColl) GetRowCountByIntColumnRanges(sc *stmtctx.StatementContext,
 		return getPseudoRowCountByUnsignedIntRanges(intRanges, float64(coll.Count)), nil
 	}
 	result, err := c.getColumnRowCount(sc, intRanges, coll.ModifyCount)
-	result *= c.getIncreaseFactor(coll.Count)
+	result *= c.GetIncreaseFactor(coll.Count)
 	return result, errors.Trace(err)
 }
 
@@ -419,7 +419,7 @@ func (coll *HistColl) GetRowCountByColumnRanges(sc *stmtctx.StatementContext, co
 		return getPseudoRowCountByColumnRanges(sc, float64(coll.Count), colRanges, 0)
 	}
 	result, err := c.getColumnRowCount(sc, colRanges, coll.ModifyCount)
-	result *= c.getIncreaseFactor(coll.Count)
+	result *= c.GetIncreaseFactor(coll.Count)
 	return result, errors.Trace(err)
 }
 
@@ -440,7 +440,7 @@ func (coll *HistColl) GetRowCountByIndexRanges(sc *stmtctx.StatementContext, idx
 	} else {
 		result, err = idx.getRowCount(sc, indexRanges, coll.ModifyCount)
 	}
-	result *= idx.getIncreaseFactor(coll.Count)
+	result *= idx.GetIncreaseFactor(coll.Count)
 	return result, errors.Trace(err)
 }