diff --git a/Lib/enum.py b/Lib/enum.py
index 3c459ea4113..e8603a43420 100644
--- a/Lib/enum.py
+++ b/Lib/enum.py
@@ -644,7 +644,7 @@ class Enum(metaclass=EnumMeta):
                 for cls in self.__class__.mro()
                 for m in cls.__dict__
                 if m[0] != '_' and m not in self._member_map_
-                ]
+                ] + [m for m in self.__dict__ if m[0] != '_']
         return (['__class__', '__doc__', '__module__'] + added_behavior)
 
     def __format__(self, format_spec):
diff --git a/Lib/test/test_enum.py b/Lib/test/test_enum.py
index 59789fb7bcc..3f39073f5d5 100644
--- a/Lib/test/test_enum.py
+++ b/Lib/test/test_enum.py
@@ -216,6 +216,18 @@ class TestEnum(unittest.TestCase):
                 set(['__class__', '__doc__', '__module__', 'name', 'value', 'invisible']),
                 )
 
+    def test_dir_on_sub_with_behavior_including_instance_dict_on_super(self):
+        # see issue40084
+        class SuperEnum(IntEnum):
+            def __new__(cls, value, description=""):
+                obj = int.__new__(cls, value)
+                obj._value_ = value
+                obj.description = description
+                return obj
+        class SubEnum(SuperEnum):
+            sample = 5
+        self.assertTrue({'description'} <= set(dir(SubEnum.sample)))
+
     def test_enum_in_enum_out(self):
         Season = self.Season
         self.assertIs(Season(Season.WINTER), Season.WINTER)
diff --git a/Lib/test/test_httplib.py b/Lib/test/test_httplib.py
index a3f268be979..4abff60230b 100644
--- a/Lib/test/test_httplib.py
+++ b/Lib/test/test_httplib.py
@@ -1,5 +1,5 @@
 import errno
-from http import client
+from http import client, HTTPStatus
 import io
 import itertools
 import os
@@ -519,6 +519,10 @@ class TransferEncodingTest(TestCase):
 
 
 class BasicTest(TestCase):
+    def test_dir_with_added_behavior_on_status(self):
+        # see issue40084
+        self.assertTrue({'description', 'name', 'phrase', 'value'} <= set(dir(HTTPStatus(404))))
+
     def test_status_lines(self):
         # Test HTTP status lines
 
diff --git a/Misc/ACKS b/Misc/ACKS
index d23797a2f55..01ee1cb42d3 100644
--- a/Misc/ACKS
+++ b/Misc/ACKS
@@ -191,6 +191,7 @@ Gawain Bolton
 Carl Friedrich Bolz-Tereick
 Forest Bond
 Gregory Bond
+Angelin Booz
 Médéric Boquien
 Matias Bordese
 Jonas Borgström
diff --git a/Misc/NEWS.d/next/Library/2020-03-29-21-32-00.bpo-40084.MCYwcv.rst b/Misc/NEWS.d/next/Library/2020-03-29-21-32-00.bpo-40084.MCYwcv.rst
new file mode 100644
index 00000000000..65ff4ce36e8
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-03-29-21-32-00.bpo-40084.MCYwcv.rst
@@ -0,0 +1 @@
+Fix ``Enum.__dir__``: dir(Enum.member) now includes attributes as well as methods.