diff --git a/.github/workflows/ubuntu.yml b/.github/workflows/ubuntu.yml
index 43ae9d96c..a1100b138 100644
--- a/.github/workflows/ubuntu.yml
+++ b/.github/workflows/ubuntu.yml
@@ -11,7 +11,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest]
-        python-version: ["3.7", "3.8", "3.9", "3.10", "3.11"]
+        python-version: ["3.7", "3.8", "3.9", "3.10", "3.11", "3.12", "3.13"]
 
     steps:
     - uses: actions/checkout@v3
@@ -33,6 +33,7 @@ jobs:
       uses: actions/setup-python@v4
       with:
         python-version: ${{ matrix.python-version }}
+        allow-prereleases: true
 
     - name: Show environment
       run: |
diff --git a/docs/news.rst b/docs/news.rst
index 7ea4b49cf..d9cb3fcdd 100644
--- a/docs/news.rst
+++ b/docs/news.rst
@@ -6,6 +6,7 @@ v8.3 (unreleased)
 
 Lab
 ^^^
+* Add support for Python 3.12 and 3.13 (Jendrik Seipp).
 * Open ``run.log`` and ``run.err`` in binary mode to avoid decoding byte strings (Jendrik Seipp).
 
 Downward Lab
diff --git a/setup.py b/setup.py
index 235158c44..6e475cd1d 100644
--- a/setup.py
+++ b/setup.py
@@ -32,6 +32,8 @@
         "Programming Language :: Python :: 3.9",
         "Programming Language :: Python :: 3.10",
         "Programming Language :: Python :: 3.11",
+        "Programming Language :: Python :: 3.12",
+        "Programming Language :: Python :: 3.13",
         "Topic :: Scientific/Engineering",
     ],
     install_requires=[
diff --git a/tox.ini b/tox.ini
index 56c933899..a2193d10b 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,5 +1,5 @@
 [tox]
-envlist = py37, py38, py310, py311, downward, ff, singularity, style, docs  # Skip py39 since it chokes on distutils.
+envlist = py37, py38, py310, py311, py312, py313, downward, ff, singularity, style, docs  # Skip py39 since it chokes on distutils.
 basepython = python3
 skip_missing_interpreters = true