The Exaile team does not currently provide supported packages (rpm, deb, etc) for any Linux distributions. However most distributions include Exaile in their repositories.
If you are installing from source, please check the DEPS file (included in the tarballs) to make sure you have all the required dependencies to run Exaile.
If you wish to download the latest development code, you can type the following:
git clone https://github.com/exaile-dev/exaile.git
and to update it:
Source code releases from 3.3.0 on can be downloaded at github.
For old releases in the 0.3.0 and later series, see our launchpad downloads.