diff --git a/clang-tools-extra/include-cleaner/lib/FindHeaders.cpp b/clang-tools-extra/include-cleaner/lib/FindHeaders.cpp
--- a/clang-tools-extra/include-cleaner/lib/FindHeaders.cpp
+++ b/clang-tools-extra/include-cleaner/lib/FindHeaders.cpp
@@ -248,6 +248,10 @@
   // Add name match hints to deduplicated providers.
   llvm::StringRef SymbolName = symbolName(S);
   for (auto &H : Headers) {
+    // Don't apply name match hints to standard headers as the standard headers
+    // are already ranked in the stdlib mapping.
+    if (H.kind() == Header::Standard)
+      continue;
     if (nameMatch(SymbolName, H))
       H.Hint |= Hints::PreferredHeader;
   }
diff --git a/clang-tools-extra/include-cleaner/unittests/FindHeadersTest.cpp b/clang-tools-extra/include-cleaner/unittests/FindHeadersTest.cpp
--- a/clang-tools-extra/include-cleaner/unittests/FindHeadersTest.cpp
+++ b/clang-tools-extra/include-cleaner/unittests/FindHeadersTest.cpp
@@ -486,5 +486,16 @@
   }
 }
 
+TEST_F(HeadersForSymbolTest, StandardHeaders) {
+  Inputs.Code = "void assert();";
+  buildAST();
+  EXPECT_THAT(
+      headersFor("assert"),
+      // Respect the ordering from the stdlib mapping.
+      UnorderedElementsAre(tooling::stdlib::Header::named("<cassert>"),
+                           tooling::stdlib::Header::named("<assert.h>")));
+}
+
+
 } // namespace
 } // namespace clang::include_cleaner