diff --git a/.travis.yml b/.travis.yml
index 9252c27..1f89b34 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -8,11 +8,12 @@ install:
 
 python:
   - "2.7"
-  - "3.4"
   - "3.5"
   - "3.6"
   - "3.7"
+  - "3.8"
   - "pypy"
+  - "pypy3"
 
 env:
   - TWISTED="16"
@@ -25,6 +26,10 @@ matrix:
   include:
     - python: "3.5"
       env: TOXENV=lint3
+  exclude:
+    # Twisted 16 doesn't work with Python 3.8:
+    - python: "3.8"
+      env: TWISTED="16"
 
 notifications:
   email: false
diff --git a/README.rst b/README.rst
index 76e57e0..f9aee20 100644
--- a/README.rst
+++ b/README.rst
@@ -17,7 +17,7 @@ regular blocking code. Some use cases include:
 
 Crochet is maintained by Itamar Turner-Trauring.
 
-  **Note:** Crochet development is pretty slow these days because mostly it Just Works. PyPI shows about 20,000 downloads a month, so existing users seem happy: https://pypistats.org/packages/crochet
+  **Note:** Crochet development is pretty slow these days because mostly it **Just Works**. PyPI shows about 30,000 downloads a month, so existing users seem happy: https://pypistats.org/packages/crochet
 
 You can install Crochet by running::
 
@@ -41,7 +41,7 @@ API and features
            :target: http://travis-ci.org/itamarst/crochet
            :alt: Build Status
 
-Crochet supports Python 2.7, 3.4, 3.5, 3.6, and 3.7 as well as PyPy.
+Crochet supports Python 2.7, 3.5, 3.6, 3.7, and 3.8 as well as PyPy and PyPy3.
 
 Crochet provides the following basic APIs:
 
diff --git a/docs/news.rst b/docs/news.rst
index 8685c27..8e0622b 100644
--- a/docs/news.rst
+++ b/docs/news.rst
@@ -1,6 +1,17 @@
 What's New
 ==========
 
+1.11.0
+^^^^^^
+
+New features:
+
+* Added support for Python 3.8 and PyPy 3.
+
+Backwards incompatibility:
+
+* Dropped support for Python 3.4, since latest Twisted doesn't support it.
+
 1.10.0
 ^^^^^^
 
diff --git a/setup.py b/setup.py
index 61ddb4f..cab3720 100644
--- a/setup.py
+++ b/setup.py
@@ -21,10 +21,10 @@ def read(path):
         'Operating System :: OS Independent',
         'Programming Language :: Python',
         'Programming Language :: Python :: 2.7',
-        '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',
     ],
@@ -33,7 +33,7 @@ def read(path):
     cmdclass=versioneer.get_cmdclass(),
     description="Use Twisted anywhere!",
     install_requires=[
-        "Twisted>=15.0",
+        "Twisted>=16.0",
         "wrapt",
     ],
     keywords="twisted threading",
diff --git a/tox.ini b/tox.ini
index ae5760d..c92a014 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = lint3,{py27,py34,py35,py36,py37,pypy}-{twisted-16,twisted-latest}
+envlist = lint3,{py27,py35,py36,py37,pypy,pypy3}-{twisted-16,twisted-latest},py38-twisted-latest
 usedevelop = true
 
 [testenv]