I tried to install Apache Ant on my Mac and I followed the next steps :
apache-ant-1.8.1-bin.tar.gz into my Downloads folder.
Use Brew is always good way to install ANT and other needs. To install type below command on terminal.
/usr/bin/ruby -e "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/master/install)"
after Brew installation , type
brew install ant
This will install Ant on your system. Also you will not need to worry about setting up the path.
Also i have documented on the same - How to Install ANT on Mac OS?