diff --git a/Lib/inspect.py b/Lib/inspect.py
--- a/Lib/inspect.py
+++ b/Lib/inspect.py
@@ -44,6 +44,7 @@
 import builtins
 from operator import attrgetter
 from collections import namedtuple, OrderedDict
+from enum import IntEnum
 
 # Create constants for the compiler flags in Include/code.h
 # We try to get them from dis to avoid duplication, but fall
@@ -1552,24 +1553,22 @@
     pass
 
 
-class _ParameterKind(int):
-    def __new__(self, *args, name):
-        obj = int.__new__(self, *args)
-        obj._name = name
-        return obj
+class _ParameterKind(IntEnum):
+    POSITIONAL_ONLY = 0
+    POSITIONAL_OR_KEYWORD = 1
+    VAR_POSITIONAL = 2
+    KEYWORD_ONLY = 3
+    VAR_KEYWORD = 4
 
     def __str__(self):
-        return self._name
+        return self._name_
 
-    def __repr__(self):
-        return '<_ParameterKind: {!r}>'.format(self._name)
 
-
-_POSITIONAL_ONLY        = _ParameterKind(0, name='POSITIONAL_ONLY')
-_POSITIONAL_OR_KEYWORD  = _ParameterKind(1, name='POSITIONAL_OR_KEYWORD')
-_VAR_POSITIONAL         = _ParameterKind(2, name='VAR_POSITIONAL')
-_KEYWORD_ONLY           = _ParameterKind(3, name='KEYWORD_ONLY')
-_VAR_KEYWORD            = _ParameterKind(4, name='VAR_KEYWORD')
+_POSITIONAL_ONLY         = _ParameterKind.POSITIONAL_ONLY
+_POSITIONAL_OR_KEYWORD   = _ParameterKind.POSITIONAL_OR_KEYWORD
+_VAR_POSITIONAL          = _ParameterKind.VAR_POSITIONAL
+_KEYWORD_ONLY            = _ParameterKind.KEYWORD_ONLY
+_VAR_KEYWORD             = _ParameterKind.VAR_KEYWORD
 
 
 class Parameter:
@@ -1581,11 +1580,13 @@
         The name of the parameter as a string.
     * default : object
         The default value for the parameter if specified.  If the
-        parameter has no default value, this attribute is not set.
-    * annotation
+        parameter has no default value, this attribute is set to
+        `Parameter.empty`.
+    * annotation : object
         The annotation for the parameter if specified.  If the
-        parameter has no annotation, this attribute is not set.
-    * kind : str
+        parameter has no annotation, this attribute is set to
+        `Parameter.empty`.
+    * kind : int
         Describes how argument values are bound to the parameter.
         Possible values: `Parameter.POSITIONAL_ONLY`,
         `Parameter.POSITIONAL_OR_KEYWORD`, `Parameter.VAR_POSITIONAL`,