diff --git a/pandas/core/indexes/datetimelike.py b/pandas/core/indexes/datetimelike.py
index a10e0f63b841d..06678672c8126 100644
--- a/pandas/core/indexes/datetimelike.py
+++ b/pandas/core/indexes/datetimelike.py
@@ -460,12 +460,6 @@ def isin(self, values, level=None):
 
         return algorithms.isin(self.asi8, values.asi8)
 
-    @Appender(_index_shared_docs["repeat"] % _index_doc_kwargs)
-    def repeat(self, repeats, axis=None):
-        nv.validate_repeat(tuple(), dict(axis=axis))
-        result = type(self._data)(self.asi8.repeat(repeats), dtype=self.dtype)
-        return self._shallow_copy(result)
-
     @Appender(_index_shared_docs["where"] % _index_doc_kwargs)
     def where(self, cond, other=None):
         values = self.view("i8")
diff --git a/pandas/core/indexes/extension.py b/pandas/core/indexes/extension.py
index f0f407e9e8308..0178fe864801f 100644
--- a/pandas/core/indexes/extension.py
+++ b/pandas/core/indexes/extension.py
@@ -164,6 +164,11 @@ class ExtensionIndex(Index):
 
     _data: ExtensionArray
 
+    def repeat(self, repeats, axis=None):
+        nv.validate_repeat(tuple(), dict(axis=axis))
+        result = self._data.repeat(repeats, axis=axis)
+        return self._shallow_copy(result)
+
     def take(self, indices, axis=0, allow_fill=True, fill_value=None, **kwargs):
         nv.validate_take(tuple(), kwargs)
         indices = ensure_platform_int(indices)