In addition to Best Director and best British film, it also won accolades for visual effects, cinematography, best sound and original music.
12 Years a Slave star Chiwetel Ejiofor won the best actor award while Cate Blanchett picked up best actress for her role in Woody Allen’s Blue Jasmine.
The best supporting actor award went to Barkhad Abdi for his debut performance opposite Tom Hanks in Paul Greengrass’ Captain Phillips and Jennifer Lawrence won best supporting actress for American Hustle.
Held at London’s Royal Opera House, the Awards were hosted by Stephen Fry and attended by a wealth Hollywood stars including Hanks, Brad Pitt and Leonardo DiCaprio.
The best short film award was won by London filmmaker James W. Griffiths for Room 8 which started life as an entry in the Bombay Sapphire Imagination film competition.
Son of Rambow and We’re the Millers star Will Poulter has been named the EE Rising Star of 2014, receiving the only award voted for by the public.
The ceremony also saw Dame Helen Mirren presented with the Fellowship of the Academy which recognises of outstanding and exceptional contribution to film.
Last month, John Willis, Chairman of BAFTA, said: “Dame Helen Mirren receives the Fellowship as one of the most outstanding actresses of her generation. Dame Helen’s incredibly successful career is testament to the determination, dedication and skill she brings to each of her roles.”
Full list of winners:
Best film
12 Years a Slave
Outstanding British film
Gravity
Actor
Chiwetel Ejiofor (12 Years a Slave)
Actress
Cate Blanchett (Blue Jasmine)
Supporting actor
Barkhad Adbi (Captain Phillips)
Supporting actress
Jennifer Lawrence (American Hustle)
Director
Alfonso Cuaron (Gravity)
Adapted screenplay
Philomena
Original screenplay
American Hustle
Animated film
Frozen
Documentary
The Act of Killing
Foreign film
The Great Beauty
Cinematography
Gravity
Costume design
The Great Gatsby
Editing
Rush
Make-up and hair
American Hustle
Music
Gravity
Production design
The Great Gatsby
Sound
Gravity
Visual effects
Gravity
Short animation
Sleeping with the Fishes
Short film
Room 8
Outstanding debut by a British writer, director or producer
Kieran Evans (writer-director, Kelly + Victor)
Rising Star award
Will Poulter