Silver Linings Playbook star Cooper was named 'Best Actor', and attended the ceremony in person to collect his award.
Chloe Moretz won the 'Next Future Icon' award, while Les Misérables actress Samantha Barks - who gave a performance of 'On My Own' during the awards ceremony - was honoured in the 'Best Breakthrough Performance' category.
Game of Thrones stars Kit Harington, Sophie Turner and Gwendoline Christie were present to accept the HBO drama's award for 'Best TV Show', Emeli Sandé was named 'Best Music Act' and Stella McCartney won the award for 'International Designer of the Year'.
Other guests at Monday night's (February 11) ceremony at the Savoy Hotel in London included BBC Radio 1 breakfast show host Nick Grimshaw, Ronnie Wood of The Rolling Stones, Peaches Geldof, Kate Hudson, Sophie Ellis-Bextor and Skyfall star Naomie Harris.
The full list of winners at the 2013 ELLE Style Awards is as follows:
International Designer of the Year: Stella McCartney
Next Future Icon: Chloe Moretz
British Designer of the Year: Christopher Kane
Contemporary Brand of the Year: McQ Alexander McQueen
Jewellery Designer of the Year: Gaia Repossi
Accessory Designer of the Year: Nicholas Kirkwood
Red Carpet Designer of the Year: Roksanda Ilincic
Next's New Designer of the Year: Simone Rocha
Best Model: Anja Rubik
Best Actor: Bradley Cooper
Best Breakthrough Performance: Samantha Banks in Les Misérables
Best TV Show: Game Of Thrones
Best Music Act: Emeli Sandé
Editor's Choice Award: Alicia Vikander
Elle Style Awards 2013: Red carpet gallery: