diff --git a/Dockerfile b/Dockerfile
index 8c588789..27077950 100644
--- a/Dockerfile
+++ b/Dockerfile
@@ -1,4 +1,4 @@
-FROM python:2
+FROM python:3
 
 # needed to allow linkchecker create plugin directory and initial configuration file in "home" dir
 ENV HOME /tmp
diff --git a/README.rst b/README.rst
index ab2b9b31..fadcdf07 100644
--- a/README.rst
+++ b/README.rst
@@ -32,7 +32,7 @@ See `doc/install.txt`_ in the source code archive for general information. Excep
 
 .. _doc/install.txt: doc/install.txt
 
-Python 2.7.2 or later is needed. It doesn't work with Python 3 yet, see `#40 <https://github.com/linkchecker/linkchecker/pull/40>`_ for details.
+Python 3 or later is needed.
 
 The version in the pip repository is old. Instead, you can use pip to install the latest release from git: ``pip install git+https://github.com/linkchecker/linkchecker.git@v9.4.0``. See `#4 <https://github.com/linkchecker/linkchecker/pull/4>`_.