Star Wars actor John Boyega has taken the EE Rising Star award, the only Bafta voted for by the public.
Boyega, who starred in Star Wars: The Force Awakens, said: "I want to thank God for this moment. I have some very special people in my life... I'm going to share this award with all the young dreamers who are hard-working... This is for you."
Star Wars: The Force Awakens won the Bafta for special visual effects.
Brooklyn was named outstanding British film while Amy has taken the documentary award.
Asif Kapadia, who directed the documentary which used archive footage to tell the story of singer Amy Winehouse's life and premature death, said: "In the end it was all about Amy.
"We really fell in love with her when making the film. And our aim and mission was really to try and tell the truth about her. To show the world what an amazing person she was, how intelligent, how witty, how beautiful she was, before it all kind of got out of control and went a bit crazy."
The Revenant, which is one of the favourites for the best film award, has received the awards for cinematography and sound.
Mad Max: Fury Road has taken the Baftas for editing and make-up and hair while the Bafta for original music went to The Hateful Eight and Ennio Morricone.
Operator has taken the award for British short film while Edmond was named as best British short animation.