diff --git a/clang/lib/Sema/SemaDecl.cpp b/clang/lib/Sema/SemaDecl.cpp
--- a/clang/lib/Sema/SemaDecl.cpp
+++ b/clang/lib/Sema/SemaDecl.cpp
@@ -12523,6 +12523,7 @@
       var->getDeclContext()->getRedeclContext()->isFileContext() &&
       var->isExternallyVisible() && var->hasLinkage() &&
       !var->isInline() && !var->getDescribedVarTemplate() &&
+      !isa<VarTemplatePartialSpecializationDecl>(var) &&
       !isTemplateInstantiation(var->getTemplateSpecializationKind()) &&
       !getDiagnostics().isIgnored(diag::warn_missing_variable_declarations,
                                   var->getLocation())) {
diff --git a/clang/test/SemaCXX/warn-missing-variable-declarations.cpp b/clang/test/SemaCXX/warn-missing-variable-declarations.cpp
--- a/clang/test/SemaCXX/warn-missing-variable-declarations.cpp
+++ b/clang/test/SemaCXX/warn-missing-variable-declarations.cpp
@@ -70,6 +70,8 @@
 template<typename> constexpr int const_var_template = 0;
 template<typename> static int static_var_template = 0;
 
+template<typename T> int var_template<T*>;
+
 template int var_template<int[1]>;
 int use_var_template() { return var_template<int[2]>; }
 template int var_template<int[3]>;