Index: clang/include/clang/AST/ASTContext.h
===================================================================
--- clang/include/clang/AST/ASTContext.h
+++ clang/include/clang/AST/ASTContext.h
@@ -3034,6 +3034,9 @@
   /// Return a new OMPTraitInfo object owned by this context.
   OMPTraitInfo &getNewOMPTraitInfo();
 
+  /// Whether a C++ static variable may be externalized.
+  bool mayExternalizeStaticVar(const Decl *D) const;
+
   /// Whether a C++ static variable should be externalized.
   bool shouldExternalizeStaticVar(const Decl *D) const;
 
Index: clang/lib/AST/ASTContext.cpp
===================================================================
--- clang/lib/AST/ASTContext.cpp
+++ clang/lib/AST/ASTContext.cpp
@@ -11191,10 +11191,16 @@
   return DB << "a prior #pragma section";
 }
 
-bool ASTContext::shouldExternalizeStaticVar(const Decl *D) const {
+bool ASTContext::mayExternalizeStaticVar(const Decl *D) const {
   return !getLangOpts().GPURelocatableDeviceCode &&
-         (D->hasAttr<CUDADeviceAttr>() || D->hasAttr<CUDAConstantAttr>()) &&
+         (D->hasAttr<CUDADeviceAttr>() ||
+          (D->hasAttr<CUDAConstantAttr>() &&
+           !D->getAttr<CUDAConstantAttr>()->isImplicit())) &&
          isa<VarDecl>(D) && cast<VarDecl>(D)->isFileVarDecl() &&
-         cast<VarDecl>(D)->getStorageClass() == SC_Static &&
+         cast<VarDecl>(D)->getStorageClass() == SC_Static;
+}
+
+bool ASTContext::shouldExternalizeStaticVar(const Decl *D) const {
+  return mayExternalizeStaticVar(D) &&
          CUDAStaticDeviceVarReferencedByHost.count(cast<VarDecl>(D));
 }
Index: clang/lib/Sema/SemaExpr.cpp
===================================================================
--- clang/lib/Sema/SemaExpr.cpp
+++ clang/lib/Sema/SemaExpr.cpp
@@ -17878,8 +17878,7 @@
   // This also requires the reference of the static device/constant variable by
   // host code to be visible in the device compilation for the compiler to be
   // able to externalize the static device/constant variable.
-  if ((Var->hasAttr<CUDADeviceAttr>() || Var->hasAttr<CUDAConstantAttr>()) &&
-      Var->isFileVarDecl() && Var->getStorageClass() == SC_Static) {
+  if (SemaRef.getASTContext().mayExternalizeStaticVar(Var)) {
     auto *CurContext = SemaRef.CurContext;
     if (!CurContext || !isa<FunctionDecl>(CurContext) ||
         cast<FunctionDecl>(CurContext)->hasAttr<CUDAHostAttr>() ||
Index: clang/test/CodeGenCUDA/static-device-var-no-rdc.cu
===================================================================
--- clang/test/CodeGenCUDA/static-device-var-no-rdc.cu
+++ clang/test/CodeGenCUDA/static-device-var-no-rdc.cu
@@ -1,11 +1,11 @@
 // REQUIRES: x86-registered-target
 // REQUIRES: amdgpu-registered-target
 
-// RUN: %clang_cc1 -triple amdgcn-amd-amdhsa -fcuda-is-device \
+// RUN: %clang_cc1 -triple amdgcn-amd-amdhsa -fcuda-is-device -std=c++11 \
 // RUN:   -emit-llvm -o - -x hip %s | FileCheck \
 // RUN:   -check-prefixes=DEV %s
 
-// RUN: %clang_cc1 -triple x86_64-gnu-linux \
+// RUN: %clang_cc1 -triple x86_64-gnu-linux -std=c++11 \
 // RUN:   -emit-llvm -o - -x hip %s | FileCheck \
 // RUN:   -check-prefixes=HOST %s
 
@@ -53,6 +53,12 @@
 // DEV-NOT: @_ZL1z
 static int z;
 
+// Test implicit static constant variable, which should not be externalized.
+// HOST-DAG: @_ZL2z2 = internal constant i32 456
+// DEV-DAG: @_ZL2z2 = internal addrspace(4) constant i32 456
+
+static constexpr int z2 = 456;
+
 // Test static device variable in inline function, which should not be
 // externalized nor registered.
 // DEV-DAG: @_ZZ6devfunPPKiE1p = linkonce_odr addrspace(4) constant i32 2, comdat
@@ -72,6 +78,7 @@
   a[4] = x4;
   a[5] = x5;
   b[0] = &w;
+  b[1] = &z2;
   devfun(b);
 }
 
@@ -81,11 +88,12 @@
 
 int* getDeviceSymbol(int *x);
 
-void foo(int *a) {
+void foo(const int **a) {
   getDeviceSymbol(&x);
   getDeviceSymbol(&x5);
   getDeviceSymbol(&y);
   z = 123;
+  a[0] = &z2;
 }
 
 // HOST: __hipRegisterVar({{.*}}@_ZL1x {{.*}}@[[DEVNAMEX]]