Here I list steps which I finish the Cordova Installation on Mac.
1. Install brew
If you already have homebrew, you can skip this step or you can uninstall brew first and then re-install.
rm -rf /usr/local/Cellar /usr/local/.git && brew cleanup ruby -e "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/master/install)"
If you meet any problems on installing homebrew, you can use “brew doctor” to check it.
2. Install Node.js
You need to install node.js, because Cordova needs the NPM tool.
brew install node
3. Install Android-SDK
brew install android-sdk
4. Install Ant
brew install ant
5. Install Cordova
sudo npm install -g cordova