diff --git a/.travis.yml b/.travis.yml
index 7938527..6a6a5cb 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,22 +1,20 @@
 language: python
-sudo: false
+
 python:
   - 2.7
-  - 3.4
   - 3.5
   - 3.6
+  - 3.7
+  - 3.8
   - pypy
   - pypy3
-matrix:
-    include:
-        - python: "3.7"
-          dist: xenial
-          sudo: true
+
 script:
   - coverage run -m zope.testrunner --test-path=src  --auto-color --auto-progress
 
 after_success:
   - coveralls
+
 notifications:
   email: false
 
diff --git a/CHANGES.rst b/CHANGES.rst
index 31af8ff..1e783a1 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -5,7 +5,9 @@
 2.2.1 (unreleased)
 ==================
 
-- Nothing changed yet.
+- Add support for Python 3.8.
+
+- Drop support for Python 3.4.
 
 
 2.2.0 (2018-10-19)
diff --git a/setup.py b/setup.py
index dbc7df6..0a7b71e 100644
--- a/setup.py
+++ b/setup.py
@@ -76,10 +76,10 @@ def read(*rnames):
         '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',
         'Programming Language :: Python :: Implementation :: CPython',
         'Programming Language :: Python :: Implementation :: PyPy',
         'Natural Language :: English',
diff --git a/tox.ini b/tox.ini
index b584544..dd0b127 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 envlist =
-    py27, pypy, py34, py35, py36, py37, coverage
+    py27, pypy, py35, py36, py37, py38, pypy3, coverage
 
 [testenv]
 commands =
@@ -11,7 +11,7 @@ extras = test
 [testenv:coverage]
 usedevelop = true
 basepython =
-    python3.6
+    python3
 commands =
     coverage run -m zope.testrunner --test-path=src
     coverage report --fail-under=100