Hill has nominations for best male comic, best entertainment personality, and the People's Choice Award - while TV Burp is up for best comedy entertainment programme. Hart is up for best comedy actress and the People's Choice, While her self-titled sitcom, just renewed for a third series, is up for best new comedy and best sitcom
This year is also the first time since 2000 that a children's show has been nominated, with Horrible Histories in the running for best sketch show alongside Harry & Paul and Armstrong & Miller. Previously, SM:TV won the People's Choice award.
The full list of nominees for the accolades - to be handed out in a live ceremony on Channel 4 next Saturday - is:
Best Comedy Panel Show: Have I Got News For You; Shooting Stars; Would I Lie To You.
Best Comedy Entertainment Programme:Harry Hillís TV Burp; The Graham Norton Show; Newswipe.
Best Comedy Entertainment Personality: Ant & Dec; Charlie Brooker; Harry Hill.
Best New British TV Comedy:Grandmaís House; Miranda; The Trip.
Best Sketch Show: Harry & Paul; Horrible Histories; The Armstrong & Miller Show.
Best Sitcom: Miranda; The Inbetweeners; The Thick Of It.
Best Comedy Actor: James Buckley; Peter Capaldi; Rob Brydon; Tom Hollander.
Best British Comedy Performance in Film: Aaron Johnson; Kayvan Novak; Nigel Lindsay.