diff --git a/.travis.yml b/.travis.yml
index ff85f86..4b26c5f 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,11 +1,14 @@
 sudo: true
 language: python
-python:
-  - "2.7"
-  - "3.4"
-  - "3.5"
-  - "3.6"
-  - "pypy"
+matrix:
+  include:
+    - python: 2.7
+    - python: 3.4
+    - python: 3.5
+    - python: 3.6
+    - python: 3.7
+      dist: xenial
+    - python: pypy
 install:
   - scripts/install-on-travis.sh
 script:
diff --git a/README.rst b/README.rst
index 5b341e8..c2f0d5f 100644
--- a/README.rst
+++ b/README.rst
@@ -12,7 +12,8 @@ Linux_ systems. Supported backup destinations include local disks (possibly
 encrypted using LUKS_) and remote systems that are running an SSH_ server or
 `rsync daemon`_. Each backup produces a timestamped snapshot and these
 snapshots are rotated according to a rotation scheme that you can configure.
-The package is currently tested on cPython 2.7, 3.4, 3.5, 3.6 and PyPy (2.7).
+The package is currently tested on cPython 2.7, 3.4, 3.5, 3.6, 3.7 and PyPy
+(2.7).
 
 .. contents::
    :depth: 3
diff --git a/setup.py b/setup.py
index b08d238..2885e13 100755
--- a/setup.py
+++ b/setup.py
@@ -85,6 +85,7 @@ def get_absolute_path(*args):
           'Programming Language :: Python :: 3.4',
           'Programming Language :: Python :: 3.5',
           'Programming Language :: Python :: 3.6',
+          'Programming Language :: Python :: 3.7',
           'Programming Language :: Python :: Implementation :: CPython',
           'Programming Language :: Python :: Implementation :: PyPy',
           'Topic :: Software Development',
diff --git a/tox.ini b/tox.ini
index 0b171e4..f3f3be3 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py27, py34, py35, py36, pypy
+envlist = py27, py34, py35, py36, py37, pypy
 
 [testenv]
 deps = -rrequirements-tests.txt