diff --git a/clang/lib/Format/TokenAnnotator.cpp b/clang/lib/Format/TokenAnnotator.cpp
index 1fe3b61a5a81f2..9be5c09a32dd3f 100644
--- a/clang/lib/Format/TokenAnnotator.cpp
+++ b/clang/lib/Format/TokenAnnotator.cpp
@@ -127,7 +127,7 @@ class AnnotatingParser {
                    SmallVector<ScopeType> &Scopes)
       : Style(Style), Line(Line), CurrentToken(Line.First), AutoFound(false),
         IsCpp(Style.isCpp()), LangOpts(getFormattingLangOpts(Style)),
-        Keywords(Keywords), Scopes(Scopes) {
+        Keywords(Keywords), Scopes(Scopes), TemplateDeclarationDepth(0) {
     assert(IsCpp == LangOpts.CXXOperatorNames);
     Contexts.push_back(Context(tok::unknown, 1, /*IsExpression=*/false));
     resetTokenMetadata();
@@ -1266,16 +1266,22 @@ class AnnotatingParser {
   }
 
   bool parseTemplateDeclaration() {
-    if (CurrentToken && CurrentToken->is(tok::less)) {
-      CurrentToken->setType(TT_TemplateOpener);
-      next();
-      if (!parseAngle())
-        return false;
-      if (CurrentToken)
-        CurrentToken->Previous->ClosesTemplateDeclaration = true;
-      return true;
-    }
-    return false;
+    if (!CurrentToken || CurrentToken->isNot(tok::less))
+      return false;
+
+    CurrentToken->setType(TT_TemplateOpener);
+    next();
+
+    TemplateDeclarationDepth++;
+    const bool WellFormed = parseAngle();
+    TemplateDeclarationDepth--;
+    if (!WellFormed)
+      return false;
+
+    if (CurrentToken && TemplateDeclarationDepth == 0)
+      CurrentToken->Previous->ClosesTemplateDeclaration = true;
+
+    return true;
   }
 
   bool consumeToken() {
@@ -3073,6 +3079,8 @@ class AnnotatingParser {
   // same decision irrespective of the decisions for tokens leading up to it.
   // Store this information to prevent this from causing exponential runtime.
   llvm::SmallPtrSet<FormatToken *, 16> NonTemplateLess;
+
+  int TemplateDeclarationDepth;
 };
 
 static const int PrecedenceUnaryOperator = prec::PointerToMember + 1;
diff --git a/clang/unittests/Format/TokenAnnotatorTest.cpp b/clang/unittests/Format/TokenAnnotatorTest.cpp
index 8cc5c239d30a1c..504e5b66dae534 100644
--- a/clang/unittests/Format/TokenAnnotatorTest.cpp
+++ b/clang/unittests/Format/TokenAnnotatorTest.cpp
@@ -584,6 +584,23 @@ TEST_F(TokenAnnotatorTest, UnderstandsNonTemplateAngleBrackets) {
   EXPECT_TOKEN(Tokens[20], tok::greater, TT_BinaryOperator);
 }
 
+TEST_F(TokenAnnotatorTest, UnderstandsTemplateTemplateParameters) {
+  auto Tokens = annotate("template <template <typename...> typename X,\n"
+                         "          template <typename...> class Y,\n"
+                         "          typename... T>\n"
+                         "class A {};");
+  ASSERT_EQ(Tokens.size(), 28u) << Tokens;
+  EXPECT_TOKEN(Tokens[1], tok::less, TT_TemplateOpener);
+  EXPECT_TOKEN(Tokens[3], tok::less, TT_TemplateOpener);
+  EXPECT_TOKEN(Tokens[6], tok::greater, TT_TemplateCloser);
+  EXPECT_FALSE(Tokens[6]->ClosesTemplateDeclaration);
+  EXPECT_TOKEN(Tokens[11], tok::less, TT_TemplateOpener);
+  EXPECT_TOKEN(Tokens[14], tok::greater, TT_TemplateCloser);
+  EXPECT_FALSE(Tokens[14]->ClosesTemplateDeclaration);
+  EXPECT_TOKEN(Tokens[21], tok::greater, TT_TemplateCloser);
+  EXPECT_TRUE(Tokens[21]->ClosesTemplateDeclaration);
+}
+
 TEST_F(TokenAnnotatorTest, UnderstandsWhitespaceSensitiveMacros) {
   FormatStyle Style = getLLVMStyle();
   Style.WhitespaceSensitiveMacros.push_back("FOO");