Carr was branded the 'Loaded Legend' at the ceremony held at The Cuckoo Club in London and Hall was named the 'Stand-Up Legend'.
Andy Sherwood, editor of Loaded, said: "This year's awards just highlight the fantastic calibre of comedic talent we have in the UK across live stand-up, television, radio and film and we're delighted to be celebrating such stellar talent at this year's Loaded LAFTAS!"
The full breakdown of other winners - voted for by the public from a list of nominees - is as follows:
Funniest Double Act
Reeves & Mortimer
Best Panel Show
Ask Rhod Gilbert
Funniest TV Show
Cat Bin Lady
The Mighty Boosh on Tour: Journey of the Childmen
Keith Lemon's Brilliant Podcast
Comedy Dave, Radio 1
Funniest TV Personality