The darkly comic costume drama had been expected to fare well after receiving 13 nominations, and its five trophies at ceremony in London came on top of five craft awards handed out earlier.
According to Variety, Colman's performance as a gouty, capricious Queen Anne earned her fourth BIFA and maintained her record of winning each time she has been nominated.
Joe Cole won the award for best actor for his portrayal of a boxer in a Thai prison, in 'A Prayer Before Dawn'. 'American Animals', 'You Were Never Really Here', and 'Ray and Liz' walked away with a pair of awards each, and Alfonso Cuaron's 'Roma' was named best international film.
Bart Layton won the award for debut screenwriter for 'American Animals', which also scooped the trophy for best editing. Richard Billingham triumphed in the best debut director category and Jacqui Davies won as breakthrough producer for 'Ray and Liz'.
The brace of wins for 'You Were Never Really Here' came in the music and sound categories.
Alessandro Nivola won the best supporting actor award for his performance in 'Disobedience'. 'Beast' star Jessie Buckley was named Britain’s most promising newcomer.
Film and TV grande dame Judi Dench was on hand to collect her Richard Harris Outstanding Contribution accolade, and Felicity Jones picked up the Variety Award, which goes to a director, actor, writer or producer who has helped focus the international spotlight on the UK.
A special jury prize was given to Horace Ové for commitment to paving the way for the next generation.