diff --git a/.github/workflows/homebrew.yml b/.github/workflows/homebrew.yml
new file mode 100644
index 0000000..824e7e8
--- /dev/null
+++ b/.github/workflows/homebrew.yml
@@ -0,0 +1,88 @@
+name: Publish to Homebrew
+
+on:
+  release:
+    types: [published]
+
+jobs:
+  homebrew:
+    name: Update Homebrew Formula
+    runs-on: ubuntu-latest
+    env:
+      FORCE_JAVASCRIPT_ACTIONS_TO_NODE24: true
+    steps:
+    - name: Download release binaries
+      run: |
+        TAG=${{ github.event.release.tag_name }}
+        for PLATFORM in darwin-amd64 darwin-arm64 linux-amd64 linux-arm64; do
+          curl -fL -o "aperiodic-${PLATFORM}" \
+            "https://github.com/aperiodic-io/cli/releases/download/${TAG}/aperiodic-${PLATFORM}"
+        done
+
+    - name: Compute SHA256 checksums
+      id: sha256
+      run: |
+        echo "darwin_amd64=$(sha256sum aperiodic-darwin-amd64 | awk '{print $1}')" >> $GITHUB_OUTPUT
+        echo "darwin_arm64=$(sha256sum aperiodic-darwin-arm64 | awk '{print $1}')" >> $GITHUB_OUTPUT
+        echo "linux_amd64=$(sha256sum aperiodic-linux-amd64 | awk '{print $1}')" >> $GITHUB_OUTPUT
+        echo "linux_arm64=$(sha256sum aperiodic-linux-arm64 | awk '{print $1}')" >> $GITHUB_OUTPUT
+
+    - name: Checkout Homebrew tap
+      uses: actions/checkout@v4
+      with:
+        repository: aperiodic-io/homebrew-tap
+        token: ${{ secrets.HOMEBREW_TAP_TOKEN }}
+        path: homebrew-tap
+
+    - name: Update formula
+      run: |
+        TAG=${{ github.event.release.tag_name }}
+        VERSION=${TAG#v}
+        mkdir -p homebrew-tap/Formula
+        cat > homebrew-tap/Formula/aperiodic.rb << EOF
+        class Aperiodic < Formula
+          desc "Aperiodic CLI"
+          homepage "https://github.com/aperiodic-io/cli"
+          version "${VERSION}"
+          license "MIT"
+
+          on_macos do
+            on_arm do
+              url "https://github.com/aperiodic-io/cli/releases/download/${TAG}/aperiodic-darwin-arm64"
+              sha256 "${{ steps.sha256.outputs.darwin_arm64 }}"
+            end
+            on_intel do
+              url "https://github.com/aperiodic-io/cli/releases/download/${TAG}/aperiodic-darwin-amd64"
+              sha256 "${{ steps.sha256.outputs.darwin_amd64 }}"
+            end
+          end
+
+          on_linux do
+            on_arm do
+              url "https://github.com/aperiodic-io/cli/releases/download/${TAG}/aperiodic-linux-arm64"
+              sha256 "${{ steps.sha256.outputs.linux_arm64 }}"
+            end
+            on_intel do
+              url "https://github.com/aperiodic-io/cli/releases/download/${TAG}/aperiodic-linux-amd64"
+              sha256 "${{ steps.sha256.outputs.linux_amd64 }}"
+            end
+          end
+
+          def install
+            bin.install Dir["aperiodic-*"].first => "aperiodic"
+          end
+
+          test do
+            system "#{bin}/aperiodic", "--version"
+          end
+        end
+        EOF
+
+    - name: Commit and push formula
+      run: |
+        cd homebrew-tap
+        git config user.name "github-actions[bot]"
+        git config user.email "github-actions[bot]@users.noreply.github.com"
+        git add Formula/aperiodic.rb
+        git diff --cached --quiet || git commit -m "chore: update aperiodic to ${{ github.event.release.tag_name }}"
+        git push