diff --git a/Lib/enum.py b/Lib/enum.py
index 40ff25b9cdad37..04f2fccafa6c5d 100644
--- a/Lib/enum.py
+++ b/Lib/enum.py
@@ -785,7 +785,7 @@ def __contains__(self, other):
 
     def __iter__(self):
         members, extra_flags = _decompose(self.__class__, self.value)
-        return (m for m in members if m._value_ != 0)
+        return (m for m in members if m._value_.bit_count() == 1)
 
     def __repr__(self):
         cls = self.__class__
diff --git a/Lib/test/test_enum.py b/Lib/test/test_enum.py
index 3431040f98a726..f6ba03aadd2bfa 100644
--- a/Lib/test/test_enum.py
+++ b/Lib/test/test_enum.py
@@ -2413,6 +2413,17 @@ def test_member_iter(self):
         self.assertEqual(list(Color.BLUE), [Color.BLUE])
         self.assertEqual(list(Color.GREEN), [Color.GREEN])
 
+    def test_member_iter_one_bit(self):
+        class Foo(Flag):
+            NONE = 0
+            A = 1
+            B = 2
+            C = 4
+            AB = A | B
+            ABC = A | B | C
+
+        self.assertEqual(list(Foo.ABC), [Foo.C, Foo.B, Foo.A])
+
     def test_auto_number(self):
         class Color(Flag):
             red = auto()
diff --git a/Misc/NEWS.d/next/Library/2020-11-18-22-38-23.bpo-32218.hCjZSQ.rst b/Misc/NEWS.d/next/Library/2020-11-18-22-38-23.bpo-32218.hCjZSQ.rst
new file mode 100644
index 00000000000000..0f299a270dd11c
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-11-18-22-38-23.bpo-32218.hCjZSQ.rst
@@ -0,0 +1,2 @@
+Only keep the single-bit members for :meth:`enum.Flag.__iter__` in :mod:`enum`.
+Patch by Weipeng Hong.