diff --git a/pkg/planner/core/operator/logicalop/hash64_equals_generated.go b/pkg/planner/core/operator/logicalop/hash64_equals_generated.go
index 99444d045048e..a86a4f92b3bd4 100644
--- a/pkg/planner/core/operator/logicalop/hash64_equals_generated.go
+++ b/pkg/planner/core/operator/logicalop/hash64_equals_generated.go
@@ -452,6 +452,7 @@ func (op *LogicalLimit) Equals(other any) bool {
 // Hash64 implements the Hash64Equals interface.
 func (op *LogicalMaxOneRow) Hash64(h base.Hasher) {
 	h.HashString(plancodec.TypeMaxOneRow)
+	op.BaseLogicalPlan.Hash64(h)
 }
 
 // Equals implements the Hash64Equals interface, only receive *LogicalMaxOneRow pointer.
@@ -466,7 +467,9 @@ func (op *LogicalMaxOneRow) Equals(other any) bool {
 	if op2 == nil {
 		return false
 	}
-	_ = op2
+	if !op.BaseLogicalPlan.Equals(&op2.BaseLogicalPlan) {
+		return false
+	}
 	return true
 }
 
diff --git a/pkg/planner/core/operator/logicalop/logical_max_one_row.go b/pkg/planner/core/operator/logicalop/logical_max_one_row.go
index 200a8ac51750d..686d461da0364 100644
--- a/pkg/planner/core/operator/logicalop/logical_max_one_row.go
+++ b/pkg/planner/core/operator/logicalop/logical_max_one_row.go
@@ -26,7 +26,8 @@ import (
 
 // LogicalMaxOneRow checks if a query returns no more than one row.
 type LogicalMaxOneRow struct {
-	BaseLogicalPlan
+	// logical max one row, doesn't have any other attribute to distinguish, use plan id inside.
+	BaseLogicalPlan `hash64-equals:"true"`
 }
 
 // Init initializes LogicalMaxOneRow.
diff --git a/pkg/planner/core/operator/logicalop/logicalop_test/hash64_equals_test.go b/pkg/planner/core/operator/logicalop/logicalop_test/hash64_equals_test.go
index 8e56fd9bfb950..33533b1ef2ea1 100644
--- a/pkg/planner/core/operator/logicalop/logicalop_test/hash64_equals_test.go
+++ b/pkg/planner/core/operator/logicalop/logicalop_test/hash64_equals_test.go
@@ -278,14 +278,21 @@ func TestLogicalSchemaProducerHash64Equals(t *testing.T) {
 }
 
 func TestLogicalMaxOneRowHash64Equals(t *testing.T) {
-	m1 := &logicalop.LogicalMaxOneRow{}
-	m2 := &logicalop.LogicalMaxOneRow{}
+	ctx := mock.NewContext()
+	m1 := logicalop.LogicalMaxOneRow{}.Init(ctx, 1)
+	m2 := logicalop.LogicalMaxOneRow{}.Init(ctx, 1)
 	// since logical max one row doesn't have any elements, they are always indicate
 	// that they are equal.
 	hasher1 := base.NewHashEqualer()
 	hasher2 := base.NewHashEqualer()
 	m1.Hash64(hasher1)
 	m2.Hash64(hasher2)
+	require.NotEqual(t, hasher1.Sum64(), hasher2.Sum64())
+	require.False(t, m1.Equals(m2))
+
+	m2.SetID(m1.ID())
+	hasher2.Reset()
+	m2.Hash64(hasher2)
 	require.Equal(t, hasher1.Sum64(), hasher2.Sum64())
 	require.True(t, m1.Equals(m2))
 }