Index: clang-tidy/misc/CMakeLists.txt
===================================================================
--- clang-tidy/misc/CMakeLists.txt
+++ clang-tidy/misc/CMakeLists.txt
@@ -10,6 +10,7 @@
   MacroParenthesesCheck.cpp
   MacroRepeatedSideEffectsCheck.cpp
   MiscTidyModule.cpp
+  MoveConstantArgumentCheck.cpp
   NoexceptMoveConstructorCheck.cpp
   StaticAssertCheck.cpp
   SwappedArgumentsCheck.cpp
Index: clang-tidy/misc/MiscTidyModule.cpp
===================================================================
--- clang-tidy/misc/MiscTidyModule.cpp
+++ clang-tidy/misc/MiscTidyModule.cpp
@@ -18,6 +18,7 @@
 #include "InefficientAlgorithmCheck.h"
 #include "MacroParenthesesCheck.h"
 #include "MacroRepeatedSideEffectsCheck.h"
+#include "MoveConstantArgumentCheck.h"
 #include "NoexceptMoveConstructorCheck.h"
 #include "StaticAssertCheck.h"
 #include "SwappedArgumentsCheck.h"
@@ -66,6 +67,7 @@
         "misc-unused-parameters");
     CheckFactories.registerCheck<UnusedRAIICheck>("misc-unused-raii");
     CheckFactories.registerCheck<UseOverrideCheck>("misc-use-override");
+    CheckFactories.registerCheck<MoveConstantArgumentCheck>("move-const-arg");
   }
 };
 
Index: clang-tidy/misc/MoveConstantArgumentCheck.h
===================================================================
--- clang-tidy/misc/MoveConstantArgumentCheck.h
+++ clang-tidy/misc/MoveConstantArgumentCheck.h
@@ -0,0 +1,17 @@
+#include "../ClangTidy.h"
+
+namespace clang {
+namespace tidy {
+namespace misc {
+
+class MoveConstantArgumentCheck : public ClangTidyCheck {
+public:
+  MoveConstantArgumentCheck(StringRef Name, ClangTidyContext *Context)
+      : ClangTidyCheck(Name, Context) {}
+  void registerMatchers(ast_matchers::MatchFinder *Finder) override;
+  void check(const ast_matchers::MatchFinder::MatchResult &Result) override;
+};
+
+} // namespace misc
+} // namespace tidy
+} // namespace clang
Index: clang-tidy/misc/MoveConstantArgumentCheck.cpp
===================================================================
--- clang-tidy/misc/MoveConstantArgumentCheck.cpp
+++ clang-tidy/misc/MoveConstantArgumentCheck.cpp
@@ -0,0 +1,38 @@
+#include "MoveConstantArgumentCheck.h"
+
+#include<iostream>
+using namespace std;
+
+namespace clang {
+namespace tidy {
+namespace misc {
+
+using namespace ast_matchers;
+
+void MoveConstantArgumentCheck::registerMatchers(MatchFinder* Finder) {
+  Finder->addMatcher(
+      callExpr(callee(functionDecl(hasName("::std::move")))).bind("call-move"),
+      this);
+}
+
+void MoveConstantArgumentCheck::check(const MatchFinder::MatchResult& result) {
+  const auto* CallMove = result.Nodes.getNodeAs<CallExpr>("call-move");
+  if (CallMove->getNumArgs() != 1) return;
+  const Expr* Arg = CallMove->getArg(0);
+
+  if (Arg->getType().isConstQualified()) {
+    SourceManager* sm = result.SourceManager;
+    SourceRange MoveRange(CallMove->getLocStart(), CallMove->getRParenLoc());
+    clang::SourceLocation ArgBegin(Arg->getLocStart()),
+        ArgEnd(Arg->getLocEnd());
+    int length =
+        sm->getCharacterData(ArgEnd) - sm->getCharacterData(ArgBegin) + 1;
+    std::string ArgString(sm->getCharacterData(ArgBegin), length);
+    diag(CallMove->getLocStart(), "move of const variable")
+        << FixItHint::CreateReplacement(MoveRange, ArgString);
+  }
+}
+
+} // namespace misc
+} // namespace tidy
+} // namespace clang
Index: test/clang-tidy/move-const-arg.cpp
===================================================================
--- test/clang-tidy/move-const-arg.cpp
+++ test/clang-tidy/move-const-arg.cpp
@@ -0,0 +1,95 @@
+// RUN: $(dirname %s)/check_clang_tidy.sh %s move-const-arg %t 
+// REQUIRES: shell
+
+namespace std {
+// Directly copied from the stl.
+template<typename>
+struct remove_reference;
+
+template<typename _Tp>
+  struct remove_reference
+  { typedef _Tp   type; };
+
+template<typename _Tp>
+  struct remove_reference<_Tp&>
+  { typedef _Tp   type; };
+
+template<typename _Tp>
+  struct remove_reference<_Tp&&>
+  { typedef _Tp   type; };
+
+template<typename _Tp>
+  constexpr typename std::remove_reference<_Tp>::type&&
+  move(_Tp&& __t);
+
+}  // namespace std
+
+int f1()
+{
+  return std::move(42);
+}
+
+int f2(int x)
+{
+  return std::move(x);
+}
+
+int f3(const int x)
+{
+  return std::move(x);
+  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: move of const variable [move-const-arg]
+  // CHECK-FIXES: return x;
+}
+
+int f4(int& x)
+{
+  return std::move(x);
+}
+
+int f5(const int& x)
+{
+  return std::move(x);
+  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: move of const variable [move-const-arg]
+  // CHECK-FIXES: return x;
+}
+
+int f6(int* x)
+{
+  return std::move(*x);
+}
+
+int f7(const int* x)
+{
+  return std::move(*x);
+  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: move of const variable [move-const-arg]
+  // CHECK-FIXES: return *x;
+}
+
+int f8(int&& x)
+{
+  return std::move(x);
+}
+
+int f9(const int&& x)
+{
+  return std::move(x);
+  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: move of const variable [move-const-arg]
+  // CHECK-FIXES: return x;
+}
+
+int f10(const int* x)
+{
+  return std::move(*const_cast<int*>(x));
+}
+
+const int& f11()
+{
+  return std::move(f1());
+}
+
+int f12()
+{
+  return std::move(f11());
+  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: move of const variable [move-const-arg]
+  // CHECK-FIXES: return f11();
+}