diff --git a/.github/workflows/testsuite.yml b/.github/workflows/testsuite.yml
index 83ac8d0c..3240fe2a 100644
--- a/.github/workflows/testsuite.yml
+++ b/.github/workflows/testsuite.yml
@@ -32,7 +32,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest, macOS-latest, windows-latest]
-        python-version: [3.7, 3.8, 3.9, "3.10", "3.11", "3.12", "3.13-dev"]
+        python-version: [3.7, 3.8, 3.9, "3.10", "3.11", "3.12", "3.13"]
         include:
           - python-version: "pypy-3.7"
             os: ubuntu-latest
@@ -50,6 +50,7 @@ jobs:
       uses: actions/setup-python@v5
       with:
         python-version: ${{ matrix.python-version }}
+        allow-prereleases: true
 
     - name: Get pip cache dir
       id: pip-cache
@@ -84,20 +85,16 @@ jobs:
         fi
       shell: bash
     - name: Install extra dependencies
-      if: ${{ matrix.python-version != 'pypy-3.10' && ( matrix.python-version != '3.13-dev' || matrix.os != 'windows-latest' ) }}
+      if: ${{ matrix.python-version != 'pypy-3.10' }}
       run: |
         pip install -r extra_requirements.txt
         pip install -r legacy_requirements.txt
-        if [[ '${{ matrix.python-version }}' != '3.13-dev' ]]; then
-          pip install zstandard cffi  # needed to test #910
-        fi
+        pip install zstandard cffi  # needed to test #910
       shell: bash
     - name: Run unit tests with extra packages as non-root user
-      if: ${{ matrix.python-version != 'pypy-3.10' && ( matrix.python-version != '3.13-dev' || matrix.os != 'windows-latest' ) }}
+      if: ${{ matrix.python-version != 'pypy-3.10' }}
       run: |
-        if [[ '${{ matrix.python-version }}' != '3.13-dev' ]]; then
-          export PYTHON_ZSTANDARD_IMPORT_POLICY=cffi  # needed to test #910
-        fi
+        export PYTHON_ZSTANDARD_IMPORT_POLICY=cffi  # needed to test #910
         python -m pyfakefs.tests.all_tests
       shell: bash
     - name: Run performance tests
diff --git a/CHANGES.md b/CHANGES.md
index 05532957..9f808046 100644
--- a/CHANGES.md
+++ b/CHANGES.md
@@ -14,6 +14,9 @@ The released versions correspond to PyPI releases.
 
 ## Unreleased
 
+### Changes
+* officially support Python 3.13
+
 ### Enhancements
 * the `additional_skip_names` parameter now works with more modules (see [#1023](../../issues/1023))
 * added support for `os.fchmod`, allow file descriptor argument for `os.chmod` only for POSIX
diff --git a/README.md b/README.md
index ad3f9973..9181a938 100644
--- a/README.md
+++ b/README.md
@@ -73,7 +73,7 @@ for more information about the limitations of pyfakefs.
 ### Continuous integration
 
 pyfakefs is currently automatically tested on Linux, macOS and Windows, with
-Python 3.7 to 3.12, and with PyPy3 on Linux, using
+Python 3.7 to 3.13, and with PyPy3 on Linux, using
 [GitHub Actions](https://github.com/pytest-dev/pyfakefs/actions).
 
 ### Running pyfakefs unit tests
diff --git a/setup.cfg b/setup.cfg
index d47921b1..e010b7f0 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -34,6 +34,7 @@ classifiers =
     Programming Language :: Python :: 3.10
     Programming Language :: Python :: 3.11
     Programming Language :: Python :: 3.12
+    Programming Language :: Python :: 3.13
     Programming Language :: Python :: Implementation :: CPython
     Programming Language :: Python :: Implementation :: PyPy
     Operating System :: POSIX
diff --git a/tox.ini b/tox.ini
index cf3508ee..b80f53c5 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 envlist =
-    py{37,38,39,310,311,312}
+    py{37,38,39,310,311,312,313}
     pypy{37,39,310}
 
 [testenv]