diff --git a/.travis.yml b/.travis.yml
index b985141b..6f819af3 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -10,9 +10,7 @@ addons:
 sudo: false
 env:
   - TOXENV=flake8
-  - TOXENV=py26-crypto
   - TOXENV=py27-crypto
-  - TOXENV=py33-crypto
   - TOXENV=py34-crypto
   - TOXENV=py35-crypto
   - TOXENV=py36-crypto
diff --git a/CHANGELOG.md b/CHANGELOG.md
index 1dd5a19a..696a6a96 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -7,6 +7,9 @@ This project adheres to [Semantic Versioning](http://semver.org/).
 [Unreleased][unreleased]
 -------------------------------------------------------------------------
 ### Changed
+
+- Dropped support for python 2.6 and 3.3 [#297][297]
+
 ### Fixed
 ### Added
 
diff --git a/jwt/api_jwt.py b/jwt/api_jwt.py
index 9e201410..5ddc8a30 100644
--- a/jwt/api_jwt.py
+++ b/jwt/api_jwt.py
@@ -7,7 +7,7 @@
 
 from .api_jws import PyJWS
 from .algorithms import Algorithm, get_default_algorithms  # NOQA
-from .compat import string_types, timedelta_total_seconds
+from .compat import string_types
 from .exceptions import (
     DecodeError, ExpiredSignatureError, ImmatureSignatureError,
     InvalidAudienceError, InvalidIssuedAtError,
@@ -101,7 +101,7 @@ def _validate_claims(self, payload, options, audience=None, issuer=None,
                           DeprecationWarning)
 
         if isinstance(leeway, timedelta):
-            leeway = timedelta_total_seconds(leeway)
+            leeway = leeway.total_seconds()
 
         if not isinstance(audience, (string_types, type(None))):
             raise TypeError('audience must be a string or None')
diff --git a/jwt/compat.py b/jwt/compat.py
index b928c7d2..c30f109c 100644
--- a/jwt/compat.py
+++ b/jwt/compat.py
@@ -21,19 +21,6 @@
 string_types = (text_type, binary_type)
 
 
-def timedelta_total_seconds(delta):
-    try:
-        delta.total_seconds
-    except AttributeError:
-        # On Python 2.6, timedelta instances do not have
-        # a .total_seconds() method.
-        total_seconds = delta.days * 24 * 60 * 60 + delta.seconds
-    else:
-        total_seconds = delta.total_seconds()
-
-    return total_seconds
-
-
 try:
     constant_time_compare = hmac.compare_digest
 except AttributeError:
diff --git a/setup.py b/setup.py
index 5bdb19f5..2e5c272c 100755
--- a/setup.py
+++ b/setup.py
@@ -60,9 +60,7 @@ def get_version(package):
         'Natural Language :: English',
         'License :: OSI Approved :: MIT License',
         'Programming Language :: Python',
-        'Programming Language :: Python :: 2.6',
         'Programming Language :: Python :: 2.7',
-        'Programming Language :: Python :: 3.3',
         'Programming Language :: Python :: 3.4',
         'Programming Language :: Python :: 3.5',
         'Programming Language :: Python :: 3.6',
diff --git a/tox.ini b/tox.ini
index 2ed7fdde..22623484 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py{26,27,33,34,35,36}-crypto, py{27,35,36}-contrib_crypto, py{27,35,36}-nocrypto, flake8
+envlist = py{27,34,35,36}-crypto, py{27,35,36}-contrib_crypto, py{27,35,36}-nocrypto, flake8
 
 [testenv]
 commands =