diff --git a/pandas/tests/frame/methods/test_join.py b/pandas/tests/frame/methods/test_join.py
index 30118d20f67a9..3e06b96b1cb07 100644
--- a/pandas/tests/frame/methods/test_join.py
+++ b/pandas/tests/frame/methods/test_join.py
@@ -323,6 +323,20 @@ def test_join_multiindex_leftright(self):
         tm.assert_frame_equal(df1.join(df2, how="right"), exp)
         tm.assert_frame_equal(df2.join(df1, how="left"), exp[["value2", "value1"]])
 
+    def test_join_multiindex_dates(self):
+        # GH 33692
+        date = pd.Timestamp(2000, 1, 1).date()
+
+        # creates dataframes
+        df1 = DataFrame({"index_0": int(0), "date": date, "col1": [2]})
+        df2 = DataFrame({"col2": [3]})
+
+        multi_index = MultiIndex.from_tuples([(0, date)], names=["index_0", "date"])
+        df3 = DataFrame(index=multi_index, columns=["col3"], data=[4])
+
+        # if fails, raises error
+        df1.join([df2, df3])
+
     def test_merge_join_different_levels(self):
         # GH#9455