The festival said Friday that the film will not compete for prizes.
Crowe has already teamed up with Scott many times, in "Gladiator," "A Good Year," "American Gangster" and "Body of Lies."
By playing Robin Hood on screen, Crowe follows in the footsteps of Errol Flynn, Sean Connery and Kevin Costner. Cate Blanchett plays his love interest, Maid Marian.
The festival runs from May 12 to 23.