Other winners included Plan B who won the Best Track accolade for iLL Manors andMuse, who were named Best Act In The World Today.
Speaking of the event, Q Magazine Editor Andrew Harrison said in a statement: "It's been the most incredible year for British music.
"Our bands and our anthems transformed the Olympics. A string of great albums announced fantastic new talent on the scene. And amazing comeback shows from Blur and the Stone Roses showed the enduring appeal of our best-loved musicians.
"Q is proud to raise a glass (perhaps a bottle of our very own Q Red Label Beer) to salute the artists that make Britain the world capital of rock and roll."
Full list of 2012 Q Award winners:
Q Best New Act Presented By Merc Alabama Shakes Alt-J Django Django - WINNER Lianne La Havas Frank Ocean
Best Track Florence + the Machine - 'Shake It Out' Fun - 'We Are Young' Gotye - 'Somebody That I Used To Know' Plan B - 'Ill Manors' - WINNER Rizzle Kicks - 'Mama Do The Hump'
Best Album Presented By Red Stag by Jim Beam The Black Keys - El Camino Richard Hawley - Standing At The Sky's Edge The Maccabees - Given To The Wild Paul Weller - Sonik Kicks Bobby Womack - The Bravest Man In The Universe - WINNER
Best Live Act Blur - WINNER The Cribs Radiohead Bruce Springsteen The Stone Roses
Best Video Arctic Monkeys - 'R U Mine?' Noel Gallagher's High Flying Birds - 'Everybody's On The Run' Keane - 'Disconnected' - WINNER The Killers - 'Runaways' Nicki Minaj - 'Starships'
Best Solo Artist presented by Citroen Adele Dizzee Rascal Noel Gallagher Emeli Sandé - WINNER Florence Welch
Best Act In The World Today Blur Coldplay Lady GaGa Muse - WINNER The Stone Roses
Q Classic Song Dionne Warwick: 'Walk On By'
Q Spirit Of Independence The Cribs
Q Innovation In Sound Underworld
Q Inspiration Award Pulp
Q Icon Award Dexys
Q Classic Album Manic Street Preachers: Generation Terrorists