diff --git a/clang-tools-extra/clang-tidy/readability/StaticAccessedThroughInstanceCheck.cpp b/clang-tools-extra/clang-tidy/readability/StaticAccessedThroughInstanceCheck.cpp
--- a/clang-tools-extra/clang-tidy/readability/StaticAccessedThroughInstanceCheck.cpp
+++ b/clang-tools-extra/clang-tidy/readability/StaticAccessedThroughInstanceCheck.cpp
@@ -74,6 +74,10 @@
   std::string BaseTypeName =
       BaseType.getAsString(PrintingPolicyWithSupressedTag);
 
+  // Ignore anonymous structs/classes
+  if (StringRef(BaseTypeName).contains("(unnamed "))
+    return;
+
   // Do not warn for CUDA built-in variables.
   if (StringRef(BaseTypeName).startswith("__cuda_builtin_"))
     return;
diff --git a/clang-tools-extra/docs/ReleaseNotes.rst b/clang-tools-extra/docs/ReleaseNotes.rst
--- a/clang-tools-extra/docs/ReleaseNotes.rst
+++ b/clang-tools-extra/docs/ReleaseNotes.rst
@@ -267,6 +267,10 @@
   string for ``Prefix`` or ``Suffix`` options could result in the style not
   being used.
 
+- Fixed an issue in :doc:`readability-static-accessed-through-instance
+  <clang-tidy/checks/readability/static-accessed-through-instance>` when using
+  anonymous structs or classes.
+
 - Fixed an issue in :doc:`google-readability-avoid-underscore-in-googletest-name
   <clang-tidy/checks/google/readability-avoid-underscore-in-googletest-name>` when using
   ``DISABLED_`` in the test suite name.
diff --git a/clang-tools-extra/test/clang-tidy/checkers/readability/static-accessed-through-instance.cpp b/clang-tools-extra/test/clang-tidy/checkers/readability/static-accessed-through-instance.cpp
--- a/clang-tools-extra/test/clang-tidy/checkers/readability/static-accessed-through-instance.cpp
+++ b/clang-tools-extra/test/clang-tidy/checkers/readability/static-accessed-through-instance.cpp
@@ -285,3 +285,27 @@
 // CHECK-MESSAGES-NOT: :[[@LINE-1]]:10: warning: static member
 
 } // namespace Bugzilla_48758
+
+// https://github.com/llvm/llvm-project/issues/61736
+namespace llvm_issue_61736
+{
+
+struct {
+  static void f() {}
+} AnonStruct, *AnonStructPointer;
+
+class {
+  public:
+  static void f() {}
+} AnonClass, *AnonClassPointer;
+
+void testAnonymousStructAndClass()
+{
+  AnonStruct.f();
+  AnonStructPointer->f();
+
+  AnonClass.f();
+  AnonClassPointer->f();
+}
+
+} // namespace llvm_issue_61736