diff --git a/Lib/hmac.py b/Lib/hmac.py
index cae08002e55..c9e4ae80478 100644
--- a/Lib/hmac.py
+++ b/Lib/hmac.py
@@ -27,7 +27,7 @@ def __init__(self, key, msg = None, digestmod = None):
         msg:       Initial input for the hash, if provided.
         digestmod: A module supporting PEP 247. Defaults to the md5 module.
         """
-        if digestmod == None:
+        if digestmod is None:
             import md5
             digestmod = md5
 
diff --git a/Lib/smtplib.py b/Lib/smtplib.py
index bb8fd75e8eb..80e6508281d 100755
--- a/Lib/smtplib.py
+++ b/Lib/smtplib.py
@@ -549,7 +549,7 @@ def encode_plain(user, password):
         elif authmethod == AUTH_PLAIN:
             (code, resp) = self.docmd("AUTH",
                 AUTH_PLAIN + " " + encode_plain(user, password))
-        elif authmethod == None:
+        elif authmethod is None:
             raise SMTPException("No suitable authentication method found.")
         if code not in [235, 503]:
             # 235 == 'Authentication successful'