diff --git a/Lib/doctest.py b/Lib/doctest.py
index ba898f6..b27cbdf 100644
--- a/Lib/doctest.py
+++ b/Lib/doctest.py
@@ -1034,10 +1034,8 @@ def _find(self, tests, obj, name, module, source_lines, globs, seen):
         if inspect.isclass(obj) and self._recurse:
             for valname, val in obj.__dict__.items():
                 # Special handling for staticmethod/classmethod.
-                if isinstance(val, staticmethod):
-                    val = getattr(obj, valname)
-                if isinstance(val, classmethod):
-                    val = getattr(obj, valname).__func__
+                if isinstance(val, (staticmethod, classmethod)):
+                    val = val.__func__
 
                 # Recurse to methods, properties, and nested classes.
                 if ((inspect.isroutine(val) or inspect.isclass(val) or
diff --git a/Lib/test/test_doctest.py b/Lib/test/test_doctest.py
index 7f8ccd3..9703f87 100644
--- a/Lib/test/test_doctest.py
+++ b/Lib/test/test_doctest.py
@@ -96,6 +96,17 @@ def a_classmethod(cls, v):
         22
         """)
 
+    a_class_attribute = 42
+
+    @classmethod
+    @property
+    def a_classmethod_property(cls):
+        """
+        >>> print(SampleClass.a_classmethod_property)
+        42
+        """
+        return cls.a_class_attribute
+
     class NestedClass:
         """
         >>> x = SampleClass.NestedClass(5)
@@ -501,6 +512,7 @@ def basics(): r"""
      1  SampleClass.NestedClass.__init__
      1  SampleClass.__init__
      2  SampleClass.a_classmethod
+     1  SampleClass.a_classmethod_property
      1  SampleClass.a_property
      1  SampleClass.a_staticmethod
      1  SampleClass.double
@@ -556,6 +568,7 @@ def basics(): r"""
      1  some_module.SampleClass.NestedClass.__init__
      1  some_module.SampleClass.__init__
      2  some_module.SampleClass.a_classmethod
+     1  some_module.SampleClass.a_classmethod_property
      1  some_module.SampleClass.a_property
      1  some_module.SampleClass.a_staticmethod
      1  some_module.SampleClass.double
@@ -597,6 +610,7 @@ def basics(): r"""
      1  SampleClass.NestedClass.__init__
      1  SampleClass.__init__
      2  SampleClass.a_classmethod
+     1  SampleClass.a_classmethod_property
      1  SampleClass.a_property
      1  SampleClass.a_staticmethod
      1  SampleClass.double
@@ -617,6 +631,7 @@ def basics(): r"""
      0  SampleClass.NestedClass.square
      1  SampleClass.__init__
      2  SampleClass.a_classmethod
+     1  SampleClass.a_classmethod_property
      1  SampleClass.a_property
      1  SampleClass.a_staticmethod
      1  SampleClass.double
diff --git a/Misc/ACKS b/Misc/ACKS
index 4590145..94b0ed0 100644
--- a/Misc/ACKS
+++ b/Misc/ACKS
@@ -1880,6 +1880,7 @@
 Colin Watson
 David Watson
 Aaron Watters
+Alex Waygood
 Henrik Weber
 Leon Weber
 Steve Weber
diff --git a/Misc/NEWS.d/next/Library/2021-10-09-18-42-27.bpo-44904.RlW5h8.rst b/Misc/NEWS.d/next/Library/2021-10-09-18-42-27.bpo-44904.RlW5h8.rst
new file mode 100644
index 0000000..b02d499
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2021-10-09-18-42-27.bpo-44904.RlW5h8.rst
@@ -0,0 +1,3 @@
+Fix bug in the :mod:`doctest` module that caused it to fail if a docstring
+included an example with a ``classmethod`` ``property``. Patch by Alex
+Waygood.