The show, which focuses on a group of community service participants who receive superpowers, picked up prizes for 'Best Multichannel Programme' and 'Best New Programme'.
Elsewhere, the 'Best Drama Series or Serial' honour went to Sherlock, and The Thick Of It won 'Best Comedy Programme'. The 'Best Single Drama' award went to the BBC's Small Island.
The Cube beat The X Factor to be named 'Best Entertainment Programme', while Emmerdale triumphed over Coronation Street and EastEnders to pick up the 'Best Soap or Continuing Drama' prize.
Channel 4 was successful in the factual categories, winning awards for Embarrassing Bodies and Cutting Edge - Katie: My Beautiful Face.
Meanwhile, the 'Channel Of The Year' prize went to Misfits' home E4.
> In Full: Broadcast Awards 2011 Winners