diff --git a/.builds/tests-archlinux.yml b/.builds/tests-archlinux.yml
index 494f6c7..0e0e856 100644
--- a/.builds/tests-archlinux.yml
+++ b/.builds/tests-archlinux.yml
@@ -35,6 +35,8 @@ environment:
   REQUIREMENTS: release
   # TODO: ETESYNC_TESTS
 tasks:
+  - check-python:
+      python --version | grep 'Python 3.13'
   - docker: |
       sudo systemctl start docker
   - setup: |
diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index a98c182..6ca0f89 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -15,6 +15,7 @@ Version 0.20.0
 - Remove dependency on abandoned ``atomicwrites`` library.
 - Implement ``filter_hook`` for the HTTP storage.
 - Drop support for Python 3.7.
+- Add support for Python 3.12 and Python 3.13.
 
 Version 0.19.3
 ==============
diff --git a/docs/installation.rst b/docs/installation.rst
index 6613e3a..7ed669b 100644
--- a/docs/installation.rst
+++ b/docs/installation.rst
@@ -42,7 +42,7 @@ If your distribution doesn't provide a package for vdirsyncer, you still can
 use Python's package manager "pip". First, you'll have to check that the
 following things are installed:
 
-- Python 3.8 to 3.11 and pip.
+- Python 3.8 to 3.13 and pip.
 - ``libxml`` and ``libxslt``
 - ``zlib``
 - Linux or macOS. **Windows is not supported**, see :gh:`535`.
diff --git a/pyproject.toml b/pyproject.toml
index d367c43..c5c7ba2 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -26,6 +26,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Programming Language :: Python :: 3.8",
     "Programming Language :: Python :: 3.9",
     "Topic :: Internet",