The award was made today (26 May) by a jury that included Steven Spielberg.
The film caused controversy at the festival as it was described as having "the most explosively graphic lesbian sex in recent memory".
Inside Llewyn Davis by the Coen brothers won the Grand Jury Prize and Hirokazu Kore-eda's Like Father, Like Son won the Jury Prize, the Cannes equivalent of second and third place.
Berenice Bejo from The Artist was named 'Best Actress' for Asghar Farhadi's The Past and Bruce Dern won the 'Best Actor' award for his role in Alexander Payne's Nebraska.
'Best Director' went to Amat Escalante for Heli and the 'Screenplay' award went to Jia Zhangke for A Touch of Sin.
The Camera d'Or for the best first feature of the festival was awarded to Ilo Ilo by Anthony Chen, and the award for 'Best Short' went to Safe by Moon Byoung-Gon.
Picture gallery - stars at Cannes 2013: