diff --git a/ci/deps/travis-27.yaml b/ci/deps/travis-27.yaml
index 5a9e206ec2c69..03f47186f781a 100644
--- a/ci/deps/travis-27.yaml
+++ b/ci/deps/travis-27.yaml
@@ -41,6 +41,7 @@ dependencies:
   # universal
   - pytest
   - pytest-xdist
+  - enum34
   - moto==1.3.4
   - hypothesis>=3.58.0
   - pip:
diff --git a/pandas/tests/indexes/multi/test_enum.py b/pandas/tests/indexes/multi/test_enum.py
new file mode 100644
index 0000000000000..a13dd465ca813
--- /dev/null
+++ b/pandas/tests/indexes/multi/test_enum.py
@@ -0,0 +1,25 @@
+import pandas as pd
+
+import pandas.util.testing as tm
+import pandas.util._test_decorators as td
+
+
+@td.skip_if_no('enum')
+def test_enum_in_multiindex():
+    # GH 21298
+    # Allow use of Enums as one of the factors in a MultiIndex.
+    from enum import Enum
+    MyEnum = Enum("MyEnum", "A B")
+    df = pd.DataFrame(columns=pd.MultiIndex.from_product(iterables=[
+        MyEnum,
+        [1, 2]
+    ]))
+
+    exp_index_0 = pd.Index([MyEnum.A, MyEnum.B], dtype='object')
+    tm.assert_index_equal(df.columns.levels[0], exp_index_0)
+
+    expected = df.copy()
+    df = df.append({(MyEnum.A, 1): "abc", (MyEnum.B, 2): "xyz"},
+                   ignore_index=True)
+    expected.loc[0, [(MyEnum.A, 1), (MyEnum.B, 2)]] = 'abc', 'xyz'
+    tm.assert_frame_equal(df, expected)