diff --git a/libcontainer/cgroups/systemd/cpuset.go b/libcontainer/cgroups/systemd/cpuset.go
index 83d10dd70..dd474cf1b 100644
--- a/libcontainer/cgroups/systemd/cpuset.go
+++ b/libcontainer/cgroups/systemd/cpuset.go
@@ -51,5 +51,10 @@ func RangeToBits(str string) ([]byte, error) {
 		// do not allow empty values
 		return nil, errors.New("empty value")
 	}
+
+	// fit cpuset parsing order in systemd
+	for l, r := 0, len(ret)-1; l < r; l, r = l+1, r-1 {
+		ret[l], ret[r] = ret[r], ret[l]
+	}
 	return ret, nil
 }
diff --git a/libcontainer/cgroups/systemd/cpuset_test.go b/libcontainer/cgroups/systemd/cpuset_test.go
index 3030cba9e..bda31a5be 100644
--- a/libcontainer/cgroups/systemd/cpuset_test.go
+++ b/libcontainer/cgroups/systemd/cpuset_test.go
@@ -22,13 +22,13 @@ func TestRangeToBits(t *testing.T) {
 		{in: "4-7", out: []byte{0xf0}},
 		{in: "0-7", out: []byte{0xff}},
 		{in: "0-15", out: []byte{0xff, 0xff}},
-		{in: "16", out: []byte{1, 0, 0}},
-		{in: "0-3,32-33", out: []byte{3, 0, 0, 0, 0x0f}},
+		{in: "16", out: []byte{0, 0, 1}},
+		{in: "0-3,32-33", out: []byte{0x0f, 0, 0, 0, 3}},
 		// extra spaces and tabs are ok
 		{in: "1, 2, 1-2", out: []byte{6}},
 		{in: "    , 1   , 3  ,  5-7,	", out: []byte{0xea}},
 		// somewhat large values
-		{in: "128-130,1", out: []byte{7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2}},
+		{in: "128-130,1", out: []byte{2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7}},
 
 		{in: "-", isErr: true},
 		{in: "1-", isErr: true},