How to install mintty into 'Git Bash' on windows?

Head over to http://code.google.com/p/mintty/ and download the latest zip file containing the mintty msys package. As of 18 Oct 2014, the latest version is mintty-1.1.3-msys.zip

Extract mintty.exe from the zip file and copy it to the bin folder where you installed git. If you installed git to the default location, the path is C:\Program Files (x86)\Git\bin

Next right click on the windows shortcut for Git Bash. Change the target to: "C:\Program Files (x86)\Git\bin\mintty.exe" /bin/sh --login -i. If you installed git to a different location, you will need to use your installed path.

Now clicking on the Git Bash shortcut should open mintty.

Since 2017 the most elegant solution is wsltty from the developer of mintty. It's mintty as a terminal for Bash on Ubuntu on Windows / WSL.

Just download and execute the installer.