diff --git a/.circleci/config.yml b/.circleci/config.yml
index 1d4229b1e..226a563fb 100644
--- a/.circleci/config.yml
+++ b/.circleci/config.yml
@@ -2,7 +2,7 @@ version: 2.1
 
 orbs:
   codecov: codecov/codecov@3
-  win: circleci/windows@2.2.0
+  win: circleci/windows@5.0.0
 
 environment: &global-environment
   PIP_PROGRESS_BAR: 'off'
@@ -33,7 +33,7 @@ jobs:
             python3 -m venv env
             . env/bin/activate
             pip install pip --upgrade
-            pip install cibuildwheel==2.13.1
+            pip install cibuildwheel==2.16.2
             cibuildwheel --output-dir dist
       - save_cache: &build-linux-save-cache
           paths:
@@ -120,7 +120,7 @@ jobs:
           name: build wheels
           command: |
             python -m pip install pip --upgrade
-            python -m pip install cibuildwheel==2.13.1
+            python -m pip install cibuildwheel==2.16.2
             python -m cibuildwheel --output-dir dist
       - store_artifacts: *store-artifacts
       - persist_to_workspace: *persist-to-workspace
@@ -309,7 +309,7 @@ workflows:
       - build-linux: &build
           matrix:
             parameters:
-              python-version: &python-versions [3.8.9, 3.9.4, 3.10.0, 3.11.0]
+              python-version: &python-versions [3.8.9, 3.9.4, 3.10.0, 3.11.0, 3.12.0]
       - build-linux-aarch64: *build
       - build-sdist
       - build-osx: *build
diff --git a/pyproject.toml b/pyproject.toml
index ae1640441..797847732 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -2,7 +2,7 @@
 requires = [
     "setuptools>=46.4.0",
     "wheel",
-    "Cython>=0.29.33,<3.0",
+    "Cython~=3.0",
     'oldest-supported-numpy',
 ]
 build-backend = "setuptools.build_meta"
diff --git a/releasenotes/notes/cython3-python312-7a3370aa5d77d5d7.yaml b/releasenotes/notes/cython3-python312-7a3370aa5d77d5d7.yaml
new file mode 100644
index 000000000..d70b7872f
--- /dev/null
+++ b/releasenotes/notes/cython3-python312-7a3370aa5d77d5d7.yaml
@@ -0,0 +1,4 @@
+---
+features:
+  - Build wheels for Python 3.12.
+  - Build C++ extensions with Cython 3.
diff --git a/requirements.txt b/requirements.txt
index c289ef736..4b0b8098f 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,5 +1,5 @@
 oldest-supported-numpy
-cython==0.29.33
+cython==3.0.4
 
 reno==3.3.0  # for changelog