diff --git a/rest-api-spec/src/main/resources/rest-api-spec/test/search.aggregation/370_multi_terms.yml b/rest-api-spec/src/main/resources/rest-api-spec/test/search.aggregation/370_multi_terms.yml
index 7f088d1f6ddfd..7190fc6cf627c 100644
--- a/rest-api-spec/src/main/resources/rest-api-spec/test/search.aggregation/370_multi_terms.yml
+++ b/rest-api-spec/src/main/resources/rest-api-spec/test/search.aggregation/370_multi_terms.yml
@@ -712,3 +712,52 @@ setup:
   - match: { aggregations.m_terms.buckets.0.key: ["a", 1] }
   - match: { aggregations.m_terms.buckets.0.key_as_string: "a|1" }
   - match: { aggregations.m_terms.buckets.0.doc_count: 4 }
+
+---
+"aggregate over multi-terms test":
+  - skip:
+      version: "- 2.0.99"
+      reason:  multi_terms aggregation is introduced in 2.1.0
+
+  - do:
+      bulk:
+        index: test_1
+        refresh: true
+        body:
+          - '{"index": {}}'
+          - '{"str": "a", "ip": "127.0.0.1", "date": "2022-03-23"}'
+          - '{"index": {}}'
+          - '{"str": "a", "ip": "127.0.0.1", "date": "2022-03-25"}'
+          - '{"index": {}}'
+          - '{"str": "b", "ip": "127.0.0.1", "date": "2022-03-23"}'
+          - '{"index": {}}'
+          - '{"str": "b", "ip": "127.0.0.1", "date": "2022-03-25"}'
+
+  - do:
+      search:
+        index: test_1
+        size: 0
+        body:
+          aggs:
+            histo:
+              date_histogram:
+                field: date
+                calendar_interval: day
+              aggs:
+                m_terms:
+                  multi_terms:
+                    terms:
+                      - field: str
+                      - field: ip
+
+  - match: { hits.total.value: 4 }
+  - length: { aggregations.histo.buckets: 3 }
+  - match: { aggregations.histo.buckets.0.key_as_string: "2022-03-23T00:00:00.000Z" }
+  - match: { aggregations.histo.buckets.0.m_terms.buckets.0.key: ["a", "127.0.0.1"] }
+  - match: { aggregations.histo.buckets.0.m_terms.buckets.1.key: ["b", "127.0.0.1"] }
+  - match: { aggregations.histo.buckets.1.key_as_string: "2022-03-24T00:00:00.000Z" }
+  - length: { aggregations.histo.buckets.1.m_terms.buckets: 0 }
+  - match: { aggregations.histo.buckets.2.key_as_string: "2022-03-25T00:00:00.000Z" }
+  - match: { aggregations.histo.buckets.2.m_terms.buckets.0.key: [ "a", "127.0.0.1" ] }
+  - match: { aggregations.histo.buckets.2.m_terms.buckets.1.key: [ "b", "127.0.0.1" ] }
+
diff --git a/server/src/main/java/org/opensearch/search/aggregations/bucket/terms/MultiTermsAggregator.java b/server/src/main/java/org/opensearch/search/aggregations/bucket/terms/MultiTermsAggregator.java
index c810ba8f38624..fccb9c3af5986 100644
--- a/server/src/main/java/org/opensearch/search/aggregations/bucket/terms/MultiTermsAggregator.java
+++ b/server/src/main/java/org/opensearch/search/aggregations/bucket/terms/MultiTermsAggregator.java
@@ -196,7 +196,20 @@ InternalMultiTerms buildResult(long owningBucketOrd, long otherDocCount, Interna
 
     @Override
     public InternalAggregation buildEmptyAggregation() {
-        return null;
+        return new InternalMultiTerms(
+            name,
+            order,
+            order,
+            bucketCountThresholds.getRequiredSize(),
+            bucketCountThresholds.getMinDocCount(),
+            metadata(),
+            bucketCountThresholds.getShardSize(),
+            showTermDocCountError,
+            0,
+            0,
+            formats,
+            Collections.emptyList()
+        );
     }
 
     @Override