diff --git a/.github/workflows/ci.yaml b/.github/workflows/ci.yaml
index e296951c7c4..713da24f577 100644
--- a/.github/workflows/ci.yaml
+++ b/.github/workflows/ci.yaml
@@ -47,7 +47,7 @@ jobs:
       matrix:
         os: ["ubuntu-latest", "macos-latest", "windows-latest"]
         # Bookend python versions
-        python-version: ["3.10", "3.12"]
+        python-version: ["3.10", "3.13"]
         env: [""]
         include:
           # Minimum python version:
@@ -59,14 +59,13 @@ jobs:
             os: ubuntu-latest
           # Latest python version:
           - env: "all-but-numba"
-            python-version: "3.12"
+            python-version: "3.13"
             os: ubuntu-latest
           - env: "all-but-dask"
-            # Not 3.12 because of pint
-            python-version: "3.11"
+            python-version: "3.12"
             os: ubuntu-latest
           - env: "flaky"
-            python-version: "3.12"
+            python-version: "3.13"
             os: ubuntu-latest
     steps:
       - uses: actions/checkout@v4
@@ -78,10 +77,10 @@ jobs:
 
           if [[ ${{ matrix.os }} == windows* ]] ;
           then
-            if [[ ${{ matrix.python-version }} != "3.13" ]]; then
+            if [[ ${{ matrix.python-version }} != "3.14" ]]; then
               echo "CONDA_ENV_FILE=ci/requirements/environment-windows.yml" >> $GITHUB_ENV
             else
-              echo "CONDA_ENV_FILE=ci/requirements/environment-windows-3.13.yml" >> $GITHUB_ENV
+              echo "CONDA_ENV_FILE=ci/requirements/environment-windows-3.14.yml" >> $GITHUB_ENV
             fi
           elif [[ "${{ matrix.env }}" != "" ]] ;
           then
@@ -98,10 +97,10 @@ jobs:
               echo "PYTEST_ADDOPTS=-W default" >> $GITHUB_ENV
             fi
           else
-            if [[ ${{ matrix.python-version }} != "3.13" ]]; then
+            if [[ ${{ matrix.python-version }} != "3.14" ]]; then
               echo "CONDA_ENV_FILE=ci/requirements/environment.yml" >> $GITHUB_ENV
             else
-              echo "CONDA_ENV_FILE=ci/requirements/environment-3.13.yml" >> $GITHUB_ENV
+              echo "CONDA_ENV_FILE=ci/requirements/environment-3.14.yml" >> $GITHUB_ENV
             fi
           fi
 
diff --git a/ci/requirements/environment-3.13.yml b/ci/requirements/environment-3.14.yml
similarity index 90%
rename from ci/requirements/environment-3.13.yml
rename to ci/requirements/environment-3.14.yml
index 55ece0d6aea..cca3a7a746b 100644
--- a/ci/requirements/environment-3.13.yml
+++ b/ci/requirements/environment-3.14.yml
@@ -33,6 +33,7 @@ dependencies:
   - pip
   - pooch
   - pre-commit
+  - pyarrow # pandas raises a deprecation warning without this, breaking doctests
   - pydap
   - pytest
   - pytest-cov
diff --git a/ci/requirements/environment-windows-3.13.yml b/ci/requirements/environment-windows-3.14.yml
similarity index 100%
rename from ci/requirements/environment-windows-3.13.yml
rename to ci/requirements/environment-windows-3.14.yml
diff --git a/doc/whats-new.rst b/doc/whats-new.rst
index 50b59bda88a..6a3666d58ac 100644
--- a/doc/whats-new.rst
+++ b/doc/whats-new.rst
@@ -23,6 +23,8 @@ New Features
 ~~~~~~~~~~~~
 - Allow kwargs in :py:meth:`DataTree.map_over_datasets` and :py:func:`map_over_datasets` (:issue:`10009`, :pull:`10012`).
   By `Kai Mühlbauer <https://github.com/kmuehlbauer>`_.
+- support python 3.13 (no free-threading) (:issue:`9664`, :pull:`9681`)
+  By `Justus Magin <https://github.com/keewis>`_.
 
 Breaking changes
 ~~~~~~~~~~~~~~~~
diff --git a/pyproject.toml b/pyproject.toml
index fd4a4293882..afb0f9a0a51 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -12,6 +12,7 @@ classifiers = [
   "Programming Language :: Python :: 3.10",
   "Programming Language :: Python :: 3.11",
   "Programming Language :: Python :: 3.12",
+  "Programming Language :: Python :: 3.13",
   "Topic :: Scientific/Engineering",
 ]
 description = "N-D labeled arrays and datasets in Python"