diff --git a/tox.ini b/tox.ini
index a82bbc4e..9f7cf379 100644
--- a/tox.ini
+++ b/tox.ini
@@ -16,6 +16,7 @@ envlist =
         py27, py27-full,
         py32, py32-full,
         py33, py33-full,
+        py34, py34-full,
         pypy, pypy-full,
 
         # Also run the tests with each possible replacement of a default
@@ -28,7 +29,7 @@ envlist =
         # Alternate IOLoops.
         py2-select, py3-select,
         py2-twisted, py26-twisted, py2-twistedlayered,
-        py33-asyncio, py26-trollius, py2-trollius,
+        py3-asyncio, py33-asyncio, py26-trollius, py2-trollius,
 
         # Other configurations; see comments below.
         py2-monotonic, py3-monotonic,
@@ -103,6 +104,14 @@ setenv = TORNADO_EXTENSION=1
 deps =
      pycurl>=7.19.3
 
+[testenv:py34-full]
+basepython = python3.4
+setenv = TORNADO_EXTENSION=1
+# pycares installation currently fails on py34
+# (https://github.com/pypa/pip/pull/816)
+deps =
+     pycurl>=7.19.3
+
 [testenv:pypy-full]
 # This configuration works with pypy 1.9.  pycurl installs ok but
 # curl_httpclient doesn't work.  pycares also installs but doesn't
@@ -156,9 +165,13 @@ basepython = python2.7
 deps = {[testenv:py27-full]deps}
 commands = python -m tornado.test.runtests --ioloop=tornado.test.twisted_test.LayeredTwistedIOLoop --resolver=tornado.platform.twisted.TwistedResolver {posargs:}
 
+[testenv:py3-asyncio]
+basepython = python3.4
+deps = {[testenv:py34-full]deps}
+commands = python -m tornado.test.runtests --ioloop=tornado.platform.asyncio.AsyncIOLoop {posargs:}
+
 [testenv:py33-asyncio]
 basepython = python3.3
-# Pycurl tests currently fail with asyncio.
 deps =
      {[testenv:py33-full]deps}
      asyncio
@@ -167,7 +180,6 @@ commands = python -m tornado.test.runtests --ioloop=tornado.platform.asyncio.Asy
 # Trollius is the py2 backport of asyncio.
 [testenv:py2-trollius]
 basepython = python2.7
-# Pycurl tests currently fail with trollius.
 deps =
      {[testenv:py27-full]deps}
      trollius>=0.1.1
@@ -175,7 +187,6 @@ commands = python -m tornado.test.runtests --ioloop=tornado.platform.asyncio.Asy
 
 [testenv:py26-trollius]
 basepython = python2.6
-# Pycurl tests currently fail with trollius.
 deps =
      {[testenv:py26-full]deps}
      trollius>=0.1.3