diff --git a/.github/workflows/pythonpackage.yml b/.github/workflows/pythonpackage.yml
index 9eb960d..4a328ab 100644
--- a/.github/workflows/pythonpackage.yml
+++ b/.github/workflows/pythonpackage.yml
@@ -52,8 +52,7 @@ jobs:
 
     - name: Build the project
       run: |
-        python -m build
-        pip install dist/chmpy*.whl
+        python -m pip install .
 
     - name: Lint (flake8)
       run: |
diff --git a/.github/workflows/wheels.yml b/.github/workflows/wheels.yml
new file mode 100644
index 0000000..339d2cc
--- /dev/null
+++ b/.github/workflows/wheels.yml
@@ -0,0 +1,30 @@
+name: Build
+
+on: [push, pull_request]
+
+jobs:
+  build_wheels:
+    name: Build wheels on ${{ matrix.os }}
+    runs-on: ${{ matrix.os }}
+    strategy:
+      matrix:
+        os: [ubuntu-latest, windows-latest, macos-latest]
+
+    steps:
+      - uses: actions/checkout@v4
+
+      # Used to host cibuildwheel
+      - uses: actions/setup-python@v3
+
+      - name: Install cibuildwheel
+        run: python -m pip install cibuildwheel==2.16.2
+
+      - name: Build wheels
+        run: python -m cibuildwheel --output-dir wheelhouse
+        # to supply options, put them in 'env', like:
+        # env:
+        #   CIBW_SOME_OPTION: value
+
+      - uses: actions/upload-artifact@v3
+        with:
+          path: ./wheelhouse/*.whl