She also made her live comeback at the ceremony, performing for the first time since having throat surgery last year.
Rock band Foo Fighters won five prizes, while rapper Kanye West scooped four.
The event saw heartfelt tributes to pop star Whitney Houston, who died on Saturday, while Amy Winehouse received a posthumous award.

Winehouse's parents accepted her prize for best pop duo/group performance for Body and Soul, her duet with Tony Bennett, which was the last recording Winehouse made before she died in July.

Adele won every award she was nominated for, including record of the year, song of the year and best short form music video for Rolling in the Deep. Her second album, 21, was named album of the year.

"This record is inspired by something that is really normal and everyone's been through it, just a rubbish relationship," she said.
"It's gone on to do things I can't tell you how I feel about it, it's been the most life-changing year."

The London singer was forced to cancel all live dates last year but earned a standing ovation after her return to the stage with Rolling in the Deep.

Accepting the trophy for best pop solo performance for her song Someone Like You, she said: "Seeing as it's a vocal performance, I need to thank my doctors, I suppose, who brought my voice back."

Her producer Paul Epworth, who also worked with Foster the People, Florence and the Machine and Cee Lo Green, was named best non-classical producer.

Source: BBC.com