diff --git a/clang/lib/Format/QualifierAlignmentFixer.cpp b/clang/lib/Format/QualifierAlignmentFixer.cpp
--- a/clang/lib/Format/QualifierAlignmentFixer.cpp
+++ b/clang/lib/Format/QualifierAlignmentFixer.cpp
@@ -223,6 +223,12 @@
   if (LastQual && Qual != LastQual) {
     rotateTokens(SourceMgr, Fixes, Tok, LastQual, /*Left=*/false);
     Tok = LastQual;
+  } else if (Tok->startsSequence(QualifierType, tok::identifier,
+                                 TT_TemplateCloser)) {
+    FormatToken *Closer = Tok->Next->Next;
+    rotateTokens(SourceMgr, Fixes, Tok, Tok->Next, /*Left=*/false);
+    Tok = Closer;
+    return Tok;
   } else if (Tok->startsSequence(QualifierType, tok::identifier,
                                  TT_TemplateOpener)) {
     // Read from the TemplateOpener to
@@ -307,6 +313,11 @@
         rotateTokens(SourceMgr, Fixes, Tok, Tok->Next, /*Left=*/true);
         Tok = Tok->Next;
       }
+    } else if (Tok->startsSequence(tok::identifier, QualifierType,
+                                   TT_TemplateCloser)) {
+      FormatToken *Closer = Tok->Next->Next;
+      rotateTokens(SourceMgr, Fixes, Tok, Tok->Next, /*Left=*/true);
+      Tok = Closer;
     }
   }
   if (Tok->is(TT_TemplateOpener) && Tok->Next &&
@@ -329,8 +340,12 @@
         Next = Next->getNextNonComment();
       assert(Next->MatchingParen && "Missing template closer");
       Next = Next->MatchingParen;
+
+      // If the template closer is closing the requires clause,
+      // then stop and go back to the TemplateOpener and do whatever is
+      // inside the <>.
       if (Next->ClosesRequiresClause)
-        return Next;
+        return Next->MatchingParen;
       Next = Next->Next;
 
       // Move to the end of any template class members e.g.
@@ -461,7 +476,8 @@
   if (!Tok->is(tok::identifier))
     return false;
   if (Tok->TokenText.upper() == Tok->TokenText.str())
-    return true;
+    // T,K,U,V likely could be template arguments
+    return (Tok->TokenText.size() != 1);
   return false;
 }
 
diff --git a/clang/unittests/Format/QualifierFixerTest.cpp b/clang/unittests/Format/QualifierFixerTest.cpp
--- a/clang/unittests/Format/QualifierFixerTest.cpp
+++ b/clang/unittests/Format/QualifierFixerTest.cpp
@@ -895,5 +895,40 @@
                Style);
 }
 
+TEST_F(QualifierFixerTest, TemplatesRight) {
+  FormatStyle Style = getLLVMStyle();
+  Style.QualifierAlignment = FormatStyle::QAS_Custom;
+  Style.QualifierOrder = {"type", "const"};
+
+  verifyFormat("template <typename T>\n"
+               "  requires Concept<T const>\n"
+               "void f();",
+               "template <typename T>\n"
+               "  requires Concept<const T>\n"
+               "void f();",
+               Style);
+  verifyFormat("TemplateType<T const> t;", "TemplateType<const T> t;", Style);
+  verifyFormat("TemplateType<Container const> t;",
+               "TemplateType<const Container> t;", Style);
+}
+
+TEST_F(QualifierFixerTest, TemplatesLeft) {
+  FormatStyle Style = getLLVMStyle();
+  Style.QualifierAlignment = FormatStyle::QAS_Custom;
+  Style.QualifierOrder = {"const", "type"};
+
+  verifyFormat("template <const T> t;", "template <T const> t;", Style);
+  verifyFormat("template <typename T>\n"
+               "  requires Concept<const T>\n"
+               "void f();",
+               "template <typename T>\n"
+               "  requires Concept<T const>\n"
+               "void f();",
+               Style);
+  verifyFormat("TemplateType<const T> t;", "TemplateType<T const> t;", Style);
+  verifyFormat("TemplateType<const Container> t;",
+               "TemplateType<Container const> t;", Style);
+}
+
 } // namespace format
 } // namespace clang