diff --git a/graphene/types/enum.py b/graphene/types/enum.py
index e5cc50ed2..0f68236b4 100644
--- a/graphene/types/enum.py
+++ b/graphene/types/enum.py
@@ -12,6 +12,10 @@ def eq_enum(self, other):
     return self.value is other
 
 
+def hash_enum(self):
+    return hash(self.name)
+
+
 EnumType = type(PyEnum)
 
 
@@ -22,7 +26,7 @@ class EnumOptions(BaseOptions):
 
 class EnumMeta(SubclassWithMeta_Meta):
     def __new__(cls, name_, bases, classdict, **options):
-        enum_members = dict(classdict, __eq__=eq_enum)
+        enum_members = dict(classdict, __eq__=eq_enum, __hash__=hash_enum)
         # We remove the Meta attribute from the class to not collide
         # with the enum values.
         enum_members.pop("Meta", None)
diff --git a/graphene/types/tests/test_enum.py b/graphene/types/tests/test_enum.py
index 679de16e4..ab1e093e8 100644
--- a/graphene/types/tests/test_enum.py
+++ b/graphene/types/tests/test_enum.py
@@ -518,3 +518,28 @@ class Query(ObjectType):
     assert result.data == {"createPaint": {"color": "RED"}}
 
     assert color_input_value == RGB.RED
+
+
+def test_hashable_enum():
+    class RGB(Enum):
+        """Available colors"""
+
+        RED = 1
+        GREEN = 2
+        BLUE = 3
+
+    color_map = {RGB.RED: "a", RGB.BLUE: "b", 1: "c"}
+
+    assert color_map[RGB.RED] == "a"
+    assert color_map[RGB.BLUE] == "b"
+    assert color_map[1] == "c"
+
+
+def test_hashable_instance_creation_enum():
+    Episode = Enum("Episode", [("NEWHOPE", 4), ("EMPIRE", 5), ("JEDI", 6)])
+
+    trilogy_map = {Episode.NEWHOPE: "better", Episode.EMPIRE: "best", 5: "foo"}
+
+    assert trilogy_map[Episode.NEWHOPE] == "better"
+    assert trilogy_map[Episode.EMPIRE] == "best"
+    assert trilogy_map[5] == "foo"