diff --git a/paddle/fluid/framework/executor.h b/paddle/fluid/framework/executor.h
index d0d12b307205a76fbf4669ac060223329b41b533..a6db5c8d4136f726106f0ce4debd145d6d14fb45 100644
--- a/paddle/fluid/framework/executor.h
+++ b/paddle/fluid/framework/executor.h
@@ -44,7 +44,8 @@ struct ExecutorPrepareContext {
 
   std::vector<std::unique_ptr<OperatorBase>> ops_;
 
-  std::unordered_map<OperatorBase*, std::vector<std::string>> unused_vars_;
+  std::unordered_map<const OperatorBase*, std::vector<std::string>>
+      unused_vars_;
   bool force_disable_gc_{false};
 };
 
diff --git a/paddle/fluid/framework/executor_gc_helper.cc b/paddle/fluid/framework/executor_gc_helper.cc
index 77b0977b5a47fdf4413e75c4e89cf638949e937f..1712d66cf4c99f0c01bf2ba2431bf41f457390db 100644
--- a/paddle/fluid/framework/executor_gc_helper.cc
+++ b/paddle/fluid/framework/executor_gc_helper.cc
@@ -89,10 +89,10 @@ static bool VarCanBeDeleted(const std::string &name, const BlockDesc &block,
          type == proto::VarType::LOD_TENSOR_ARRAY;
 }
 
-std::unordered_map<OperatorBase *, std::vector<std::string>> GetUnusedVars(
-    const BlockDesc &block,
-    const std::vector<std::unique_ptr<OperatorBase>> &ops,
-    const std::vector<std::string> &skip_var_list) {
+std::unordered_map<const OperatorBase *, std::vector<std::string>>
+GetUnusedVars(const BlockDesc &block,
+              const std::vector<std::unique_ptr<OperatorBase>> &ops,
+              const std::vector<std::string> &skip_var_list) {
   std::unordered_set<std::string> skip_vars(skip_var_list.begin(),
                                             skip_var_list.end());
 
@@ -134,7 +134,7 @@ std::unordered_map<OperatorBase *, std::vector<std::string>> GetUnusedVars(
     }
   }
 
-  std::unordered_map<OperatorBase *, std::vector<std::string>> result;
+  std::unordered_map<const OperatorBase *, std::vector<std::string>> result;
   for (auto &name_op_idx_pair : var_op_idx_map) {
     auto &name = name_op_idx_pair.first;
     size_t op_idx = name_op_idx_pair.second;
@@ -144,8 +144,8 @@ std::unordered_map<OperatorBase *, std::vector<std::string>> GetUnusedVars(
 }
 
 void DeleteUnusedTensors(
-    const Scope &scope, OperatorBase *op,
-    const std::unordered_map<OperatorBase *, std::vector<std::string>>
+    const Scope &scope, const OperatorBase *op,
+    const std::unordered_map<const OperatorBase *, std::vector<std::string>>
         &delete_vars_map,
     GarbageCollector *gc) {
   auto iter = delete_vars_map.find(op);
diff --git a/paddle/fluid/framework/executor_gc_helper.h b/paddle/fluid/framework/executor_gc_helper.h
index 8553273f8242844d0203d7bcd90ea2090b65826c..a4c71c5304e05e3d0dca6ca08d955f39b779556b 100644
--- a/paddle/fluid/framework/executor_gc_helper.h
+++ b/paddle/fluid/framework/executor_gc_helper.h
@@ -26,15 +26,15 @@ namespace paddle {
 namespace framework {
 
 // Result map: op -> variable names that can be deleted after op runs
-std::unordered_map<OperatorBase *, std::vector<std::string>> GetUnusedVars(
-    const BlockDesc &block,
-    const std::vector<std::unique_ptr<OperatorBase>> &ops,
-    const std::vector<std::string> &skip_vars);
+std::unordered_map<const OperatorBase *, std::vector<std::string>>
+GetUnusedVars(const BlockDesc &block,
+              const std::vector<std::unique_ptr<OperatorBase>> &ops,
+              const std::vector<std::string> &skip_vars);
 
 // Collect unused tensors after op runs
 void DeleteUnusedTensors(
-    const Scope &scope, OperatorBase *op,
-    const std::unordered_map<OperatorBase *, std::vector<std::string>>
+    const Scope &scope, const OperatorBase *op,
+    const std::unordered_map<const OperatorBase *, std::vector<std::string>>
         &delete_vars_map,
     GarbageCollector *gc);