diff --git a/paddle/fluid/framework/op_desc.h b/paddle/fluid/framework/op_desc.h
index 0eafbb027f04212416e56e6e80924157273e861c..9470fd9b6993304020c2e69350b22c4970955b9a 100644
--- a/paddle/fluid/framework/op_desc.h
+++ b/paddle/fluid/framework/op_desc.h
@@ -164,7 +164,7 @@ class OpDesc {
 
   // Note: the identity only used as a key for referring to its
   // distributed attribute now.
-  uint64_t Id() { return id_; }
+  uint64_t Id() const { return id_; }
 
  private:
   template <typename MapType>
diff --git a/paddle/fluid/framework/var_desc.h b/paddle/fluid/framework/var_desc.h
index d1a1757d5309b6f28991f4116fc5a9bb6264077f..a6f56ad445834810b5f84c4d74cda6781c40f0ed 100644
--- a/paddle/fluid/framework/var_desc.h
+++ b/paddle/fluid/framework/var_desc.h
@@ -160,7 +160,7 @@ class VarDesc {
 
   // Note: the identity only used as a key for referring to its
   // distributed attribute now.
-  uint64_t Id() { return id_; }
+  uint64_t Id() const { return id_; }
 
  private:
   const proto::VarType::TensorDesc &tensor_desc() const;