Index: clang-tools-extra/clang-tidy/cppcoreguidelines/VirtualClassDestructorCheck.cpp
===================================================================
--- clang-tools-extra/clang-tidy/cppcoreguidelines/VirtualClassDestructorCheck.cpp
+++ clang-tools-extra/clang-tidy/cppcoreguidelines/VirtualClassDestructorCheck.cpp
@@ -23,10 +23,15 @@
   ast_matchers::internal::Matcher<CXXRecordDecl> InheritsVirtualMethod =
       hasAnyBase(hasType(cxxRecordDecl(has(cxxMethodDecl(isVirtual())))));
 
+  ast_matchers::internal::Matcher<CXXRecordDecl> BaseHasPublicVirtualDtor =
+      hasAnyBase(hasType(
+          cxxRecordDecl(has(cxxDestructorDecl(isPublic(), isVirtual())))));
+
   Finder->addMatcher(
       cxxRecordDecl(
           anyOf(has(cxxMethodDecl(isVirtual())), InheritsVirtualMethod),
           unless(anyOf(
+              BaseHasPublicVirtualDtor,
               has(cxxDestructorDecl(isPublic(), isVirtual())),
               has(cxxDestructorDecl(isProtected(), unless(isVirtual()))))))
           .bind("ProblematicClassOrStruct"),
Index: clang-tools-extra/test/clang-tidy/checkers/cppcoreguidelines-virtual-class-destructor.cpp
===================================================================
--- clang-tools-extra/test/clang-tidy/checkers/cppcoreguidelines-virtual-class-destructor.cpp
+++ clang-tools-extra/test/clang-tidy/checkers/cppcoreguidelines-virtual-class-destructor.cpp
@@ -202,3 +202,12 @@
   void m();
 };
 // inherits virtual method
+
+// CHECK-MESSAGES-NOT: :[[@LINE+2]]:8: warning: destructor of 'TemplatedDerived' is public and non-virtual [cppcoreguidelines-virtual-class-destructor]
+template <typename T>
+struct TemplatedDerived : PublicVirtualBaseStruct {
+};
+
+void test_templates() {
+  TemplatedDerived<int> x;
+}