diff --git a/CHANGES b/CHANGES
index 29f00b5849b..4c11f90f723 100644
--- a/CHANGES
+++ b/CHANGES
@@ -63,6 +63,7 @@ Bugs fixed
   generic class
 * #9755: autodoc: memory addresses are shown for aliases
 * #9752: autodoc: Failed to detect type annotation for slots attribute
+* #9756: autodoc: Crashed if classmethod does not have __func__ attribute
 * #9630: autosummary: Failed to build summary table if :confval:`primary_domain`
   is not 'py'
 * #9670: html: Fix download file with special characters
diff --git a/sphinx/util/inspect.py b/sphinx/util/inspect.py
index 4482f20872f..6a89d20e067 100644
--- a/sphinx/util/inspect.py
+++ b/sphinx/util/inspect.py
@@ -865,7 +865,7 @@ def getdoc(obj: Any, attrgetter: Callable = safe_getattr,
     if cls and name and isclassmethod(obj, cls, name):
         for basecls in getmro(cls):
             meth = basecls.__dict__.get(name)
-            if meth:
+            if meth and hasattr(meth, '__func__'):
                 return getdoc(meth.__func__)
 
     doc = attrgetter(obj, '__doc__', None)