The Jeff Nicols-directed film, which stars Michael Shannon and Tree of Life's Jessica Chastain, was given the award from the jury headed by Lee Chang-dong. It also picked up the SACD prize.
Justin Kurzel's Australian movie Snowtown was given the special distinction of the president at yesterday's ceremony.
The 'ACID/CCAS Support' gong went to Las Acacias by Pablo Giorgelli, which also picked up the 'OFAJ (Very) Young Critic Award'.
In the shorts section, the 'Canal+ Award For Best Short Film' was given to Stephan Kang's Blue. Dimanches from Valéry Rosier picked up the 'Kodak Discovery Award'. Guillaume Gouix's Alexis Ivanovitch Vous Êtes Mon Héros was marked out for special distinction.
Last year's 'Grand Prix' of Cannes Critics' Week was given to Janus Metz's Danish documentary Armadillo.