diff --git a/fe/fe-core/src/main/java/com/starrocks/sql/optimizer/rewrite/scalar/ImplicitCastRule.java b/fe/fe-core/src/main/java/com/starrocks/sql/optimizer/rewrite/scalar/ImplicitCastRule.java
index d46bb49f96b70..babedb4b245a0 100644
--- a/fe/fe-core/src/main/java/com/starrocks/sql/optimizer/rewrite/scalar/ImplicitCastRule.java
+++ b/fe/fe-core/src/main/java/com/starrocks/sql/optimizer/rewrite/scalar/ImplicitCastRule.java
@@ -134,7 +134,8 @@ public ScalarOperator visitBinaryPredicate(BinaryPredicateOperator predicate,
         }
 
         // we will try cast const operator to variable operator
-        if (rightChild.isVariable() != leftChild.isVariable()) {
+        if ((rightChild.isVariable() && leftChild.isConstantRef()) ||
+                (leftChild.isVariable() && rightChild.isConstantRef())) {
             int constant = leftChild.isVariable() ? 1 : 0;
             int variable = 1 - constant;
             Optional<BinaryPredicateOperator> optional = optimizeConstantAndVariable(predicate, constant, variable);
diff --git a/fe/fe-core/src/test/java/com/starrocks/sql/plan/ExpressionTest.java b/fe/fe-core/src/test/java/com/starrocks/sql/plan/ExpressionTest.java
index eb249b916e8e0..cecefb674f424 100644
--- a/fe/fe-core/src/test/java/com/starrocks/sql/plan/ExpressionTest.java
+++ b/fe/fe-core/src/test/java/com/starrocks/sql/plan/ExpressionTest.java
@@ -1424,4 +1424,11 @@ public void testCastStringDouble() throws Exception {
             connectContext.getSessionVariable().setCboEqBaseType("VARCHAR");
         }
     }
+
+    @Test
+    public void testCastConstantFn() throws Exception {
+        String sql = "select 2011-12-01 = id_date from test_all_type";
+        String plan = getFragmentPlan(sql);
+        assertContains(plan, " CAST(9: id_date AS DOUBLE) = 1998.0");
+    }
 }