diff --git a/doc/whatsnew/fragments/8613.false_positive b/doc/whatsnew/fragments/8613.false_positive
new file mode 100644
index 0000000000..80d28e9c23
--- /dev/null
+++ b/doc/whatsnew/fragments/8613.false_positive
@@ -0,0 +1,3 @@
+Fix a false positive for ``bad-dunder-name`` when there is a user-defined ``__index__`` method.
+
+Closes #8613
diff --git a/pylint/constants.py b/pylint/constants.py
index ad7fc2256f..de29fb9b87 100644
--- a/pylint/constants.py
+++ b/pylint/constants.py
@@ -281,6 +281,7 @@ def _get_pylint_home() -> str:
     "__getnewargs_ex__",
     "__getnewargs__",
     "__getstate__",
+    "__index__",
     "__setstate__",
     "__reduce__",
     "__reduce_ex__",
diff --git a/tests/functional/ext/bad_dunder/bad_dunder_name.py b/tests/functional/ext/bad_dunder/bad_dunder_name.py
index 48247aba03..6008866b1d 100644
--- a/tests/functional/ext/bad_dunder/bad_dunder_name.py
+++ b/tests/functional/ext/bad_dunder/bad_dunder_name.py
@@ -49,6 +49,9 @@ def __private_method(self):
     def __doc__(self):
         return "Docstring"
 
+    def __index__(self):
+        return 1
+
 
 def __increase_me__(val):
     return val + 1