Backgammon Online 3 3.0.2
Supports iOS 7
Also available for OS X in the Mac App Store
Backgammon Online was the first internet-capable backgammon app in the App Store and Mac App Store. Play anywhere at any time against real people.
You can choose between several servers to play on:
the vivid First Internet Backgammon Server (FIBS, see fibs.com) or the similar TigerGammon (see ti-ga.com)
or Game Center