diff --git a/doc/source/whatsnew/v2.1.0.rst b/doc/source/whatsnew/v2.1.0.rst
index 31293a42a3977..ed546187d721c 100644
--- a/doc/source/whatsnew/v2.1.0.rst
+++ b/doc/source/whatsnew/v2.1.0.rst
@@ -598,6 +598,7 @@ ExtensionArray
 - Bug in :meth:`Series.quantile` for pyarrow temporal types raising ArrowInvalid (:issue:`52678`)
 - Bug in :meth:`Series.rank` returning wrong order for small values with ``Float64`` dtype (:issue:`52471`)
 - Bug in :meth:`~arrays.ArrowExtensionArray.__iter__` and :meth:`~arrays.ArrowExtensionArray.__getitem__` returning python datetime and timedelta objects for non-nano dtypes (:issue:`53326`)
+- Bug where the :class:`DataFrame` repr would not work when a column would have an :class:`ArrowDtype` with an ``pyarrow.ExtensionDtype`` (:issue:`54063`)
 - Bug where the ``__from_arrow__`` method of masked ExtensionDtypes(e.g. :class:`Float64Dtype`, :class:`BooleanDtype`) would not accept pyarrow arrays of type ``pyarrow.null()`` (:issue:`52223`)
 
 Styler
diff --git a/pandas/core/dtypes/dtypes.py b/pandas/core/dtypes/dtypes.py
index 04e2b00744156..c19d6f778efb3 100644
--- a/pandas/core/dtypes/dtypes.py
+++ b/pandas/core/dtypes/dtypes.py
@@ -2102,8 +2102,9 @@ def type(self):
         elif pa.types.is_null(pa_type):
             # TODO: None? pd.NA? pa.null?
             return type(pa_type)
-        else:
-            raise NotImplementedError(pa_type)
+        elif isinstance(pa_type, pa.ExtensionType):
+            return type(self)(pa_type.storage_type).type
+        raise NotImplementedError(pa_type)
 
     @property
     def name(self) -> str:  # type: ignore[override]
diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index 7b2bedc531076..2a6b57a365a11 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -61,6 +61,7 @@
 pa = pytest.importorskip("pyarrow", minversion="7.0.0")
 
 from pandas.core.arrays.arrow.array import ArrowExtensionArray
+from pandas.core.arrays.arrow.extension_types import ArrowPeriodType
 
 
 @pytest.fixture(params=tm.ALL_PYARROW_DTYPES, ids=str)
@@ -3143,3 +3144,17 @@ def test_to_numpy_temporal(pa_type):
     expected = np.array(expected, dtype=object)
     assert result[0].unit == expected[0].unit
     tm.assert_numpy_array_equal(result, expected)
+
+
+def test_arrowextensiondtype_dataframe_repr():
+    # GH 54062
+    df = pd.DataFrame(
+        pd.period_range("2012", periods=3),
+        columns=["col"],
+        dtype=ArrowDtype(ArrowPeriodType("D")),
+    )
+    result = repr(df)
+    # TODO: repr value may not be expected; address how
+    # pyarrow.ExtensionType values are displayed
+    expected = "     col\n0  15340\n1  15341\n2  15342"
+    assert result == expected