diff --git a/.travis.yml b/.travis.yml
index 886ea772..1afe9443 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -13,7 +13,6 @@ addons:
 
 python:
   - 2.7
-  - 3.4
   - 3.5
   - 3.6
 
diff --git a/appveyor.yml b/appveyor.yml
index 59f45c36..13b7e196 100644
--- a/appveyor.yml
+++ b/appveyor.yml
@@ -19,13 +19,6 @@ environment:
       PYTHON_VERSION: "2.7"
       DISTUTILS_USE_SDK: "1"
 
-    - PYTHON: "C:\\Python34"
-      PYTHON_VERSION: "3.4"
-
-    - PYTHON: "C:\\Python34-x64"
-      PYTHON_VERSION: "3.4"
-      DISTUTILS_USE_SDK: "1"
-
     - PYTHON: "C:\\Python35"
       PYTHON_VERSION: "3.5"
 
diff --git a/docs/contributing.rst b/docs/contributing.rst
index 782f48d4..a95c18c0 100644
--- a/docs/contributing.rst
+++ b/docs/contributing.rst
@@ -145,9 +145,9 @@ To also run the doctests within docstrings, run::
 Tests can be run under different Python versions using tox. E.g. (assuming you have the
 corresponding Python interpreters installed on your system)::
 
-    $ tox -e py27,py34,py35,py36
+    $ tox -e py27,py35,py36
 
-NumCodecs currently supports Python 2.7 and Python 3.4-3.6, so the above command must
+NumCodecs currently supports Python 2.7 and Python 3.5-3.6, so the above command must
 succeed before code can be accepted into the main code base. Note that only the py36
 tox environment runs the doctests, i.e., doctests only need to succeed under Python 3.6.
 
diff --git a/docs/release.rst b/docs/release.rst
index b22190ee..e3e4ed62 100644
--- a/docs/release.rst
+++ b/docs/release.rst
@@ -18,6 +18,8 @@ Release notes
 * Updated the msgpack dependency (by :user:`Jerome Kelleher <jeromekelleher>`;
   :issue:`74`, :issue:`75`).
 
+* Drop Python 3.4 (by :user:`John Kirkham <jakirkham>`; :issue:`89`).
+
 .. _release_0.5.5:
 
 0.5.5
diff --git a/setup.py b/setup.py
index bb49d588..563a1f5c 100644
--- a/setup.py
+++ b/setup.py
@@ -339,8 +339,8 @@ def run_setup(with_extensions):
             'Programming Language :: Python :: 2',
             'Programming Language :: Python :: 2.7',
             'Programming Language :: Python :: 3',
-            'Programming Language :: Python :: 3.4',
             'Programming Language :: Python :: 3.5',
+            'Programming Language :: Python :: 3.6',
         ],
         author='Alistair Miles',
         author_email='alimanfoo@googlemail.com',
diff --git a/tox.ini b/tox.ini
index ea02dcfa..c8ac9b29 100644
--- a/tox.ini
+++ b/tox.ini
@@ -4,17 +4,17 @@
 # and then run "tox" from this directory.
 
 [tox]
-envlist = py27, py34, py35, py36, docs
+envlist = py27, py35, py36, docs
 
 [testenv]
 setenv =
     PYTHONHASHSEED = 42
     # hooks for coverage exclusions based on Python major version
-    py34,py35,py36: PY_MAJOR_VERSION = py3
+    py35,py36: PY_MAJOR_VERSION = py3
     py27: PY_MAJOR_VERSION = py2
 commands =
     python setup.py build_ext --inplace
-    py27,py34,py35: pytest -v --cov=numcodecs numcodecs
+    py27,py35: pytest -v --cov=numcodecs numcodecs
     py36: pytest -v --cov=numcodecs --doctest-modules --doctest-glob=*.pyx numcodecs
     coverage report -m
     py36: flake8 --max-line-length=100 numcodecs