diff --git a/python/cudf/cudf/core/column/column.py b/python/cudf/cudf/core/column/column.py
index 53dbb9c50cc..0b2b9fda2fd 100644
--- a/python/cudf/cudf/core/column/column.py
+++ b/python/cudf/cudf/core/column/column.py
@@ -2237,6 +2237,12 @@ def as_column(
         raise NotImplementedError(
             "cuDF does not yet support timezone-aware datetimes"
         )
+    elif (
+        cudf.get_option("mode.pandas_compatible")
+        and isinstance(arbitrary, (pd.DatetimeIndex, pd.TimedeltaIndex))
+        and arbitrary.freq is not None
+    ):
+        raise NotImplementedError("freq is not implemented yet")
     else:
         try:
             data = as_column(
diff --git a/python/cudf/cudf/tests/test_index.py b/python/cudf/cudf/tests/test_index.py
index 4efd7db4bc5..2da3d3d3ce1 100644
--- a/python/cudf/cudf/tests/test_index.py
+++ b/python/cudf/cudf/tests/test_index.py
@@ -2670,3 +2670,11 @@ def test_index_mixed_dtype_error(data):
     pi = pd.Index(data)
     with pytest.raises(TypeError):
         cudf.Index(pi)
+
+
+@pytest.mark.parametrize("cls", [pd.DatetimeIndex, pd.TimedeltaIndex])
+def test_index_date_duration_freq_error(cls):
+    s = cls([1, 2, 3], freq="infer")
+    with cudf.option_context("mode.pandas_compatible", True):
+        with pytest.raises(NotImplementedError):
+            cudf.Index(s)