diff --git a/be/src/vec/exprs/vcase_expr.cpp b/be/src/vec/exprs/vcase_expr.cpp
index bd93cb8226..e09d62bfb2 100644
--- a/be/src/vec/exprs/vcase_expr.cpp
+++ b/be/src/vec/exprs/vcase_expr.cpp
@@ -95,6 +95,9 @@ void VCaseExpr::close(VExprContext* context, FunctionContext::FunctionStateScope
 }
 
 Status VCaseExpr::execute(VExprContext* context, Block* block, int* result_column_id) {
+    if (is_const_and_have_executed()) { // const have execute in open function
+        return get_result_from_const(block, _expr_name, result_column_id);
+    }
     ColumnNumbers arguments(_children.size());
     for (int i = 0; i < _children.size(); i++) {
         int column_id = -1;
diff --git a/be/src/vec/exprs/vectorized_fn_call.cpp b/be/src/vec/exprs/vectorized_fn_call.cpp
index 58083a486f..48522b3550 100644
--- a/be/src/vec/exprs/vectorized_fn_call.cpp
+++ b/be/src/vec/exprs/vectorized_fn_call.cpp
@@ -138,6 +138,10 @@ void VectorizedFnCall::close(VExprContext* context, FunctionContext::FunctionSta
 
 Status VectorizedFnCall::execute(VExprContext* context, vectorized::Block* block,
                                  int* result_column_id) {
+    if (is_const_and_have_executed()) { // const have execute in open function
+        return get_result_from_const(block, _expr_name, result_column_id);
+    }
+
     // TODO: not execute const expr again, but use the const column in function context
     vectorized::ColumnNumbers arguments(_children.size());
     for (int i = 0; i < _children.size(); ++i) {
diff --git a/be/src/vec/exprs/vexpr.cpp b/be/src/vec/exprs/vexpr.cpp
index 3f06dbb7f5..7270126e56 100644
--- a/be/src/vec/exprs/vexpr.cpp
+++ b/be/src/vec/exprs/vexpr.cpp
@@ -554,4 +554,12 @@ Status VExpr::check_constant(const Block& block, ColumnNumbers arguments) const
     return Status::OK();
 }
 
+Status VExpr::get_result_from_const(vectorized::Block* block, const std::string& expr_name,
+                                    int* result_column_id) {
+    *result_column_id = block->columns();
+    auto column = ColumnConst::create(_constant_col->column_ptr, block->rows());
+    block->insert({std::move(column), _data_type, expr_name});
+    return Status::OK();
+}
+
 } // namespace doris::vectorized
diff --git a/be/src/vec/exprs/vexpr.h b/be/src/vec/exprs/vexpr.h
index 708b57ab63..b6a2b4ac6b 100644
--- a/be/src/vec/exprs/vexpr.h
+++ b/be/src/vec/exprs/vexpr.h
@@ -220,6 +220,11 @@ protected:
         return res;
     }
 
+    bool is_const_and_have_executed() { return (is_constant() && (_constant_col != nullptr)); }
+
+    Status get_result_from_const(vectorized::Block* block, const std::string& expr_name,
+                                 int* result_column_id);
+
     Status check_constant(const Block& block, ColumnNumbers arguments) const;
 
     /// Helper function that calls ctx->register(), sets fn_context_index_, and returns the
diff --git a/be/src/vec/exprs/vin_predicate.cpp b/be/src/vec/exprs/vin_predicate.cpp
index 55e999af47..9a25d3a223 100644
--- a/be/src/vec/exprs/vin_predicate.cpp
+++ b/be/src/vec/exprs/vin_predicate.cpp
@@ -94,6 +94,9 @@ void VInPredicate::close(VExprContext* context, FunctionContext::FunctionStateSc
 }
 
 Status VInPredicate::execute(VExprContext* context, Block* block, int* result_column_id) {
+    if (is_const_and_have_executed()) { // const have execute in open function
+        return get_result_from_const(block, _expr_name, result_column_id);
+    }
     // TODO: not execute const expr again, but use the const column in function context
     doris::vectorized::ColumnNumbers arguments(_children.size());
     for (int i = 0; i < _children.size(); ++i) {