diff --git a/.travis.yml b/.travis.yml
index 1d81c68..5edd518 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,11 +1,10 @@
 language: python
-dist: xenial
 python:
   - "2.7"
-  - "3.4"
   - "3.5"
   - "3.6"
   - "3.7"
+  - "3.8"
 services:
   - postgresql
 before_install:
diff --git a/CHANGES.rst b/CHANGES.rst
index f514875..22a0c73 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -4,7 +4,9 @@ Changes
 1.2 (unreleased)
 ----------------
 
-* Add support for Python 3.7
+* Drop support for Python 3.4.
+
+* Add support for Python 3.7 and 3.8.
 
 * Fix deprecation warnings for the event system. We already used it in general
   but still leveraged the old extenion mechanism in some places.
diff --git a/setup.py b/setup.py
index babebc2..a1c3c7f 100644
--- a/setup.py
+++ b/setup.py
@@ -30,10 +30,10 @@
         "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",
         "Programming Language :: Python :: 3.7",
+        "Programming Language :: Python :: 3.8",
         "License :: OSI Approved :: Zope Public License",
         "Topic :: Software Development :: Libraries :: Python Modules",
     ],
diff --git a/tox.ini b/tox.ini
index 05d3d6e..06f377f 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,10 +1,10 @@
 [tox]
 envlist =
     py27,
-    py34,
     py35,
     py36,
     py37,
+    py38,
 # pypy fails because of some weird test error that might be an issue with
 # sqlalchemy, pypy, and issues with object identity.