Brie Larson, who appears in new drama Room, and Kingsman: The Secret Service actor Taron Egerton have also been nominated.
They are joined by Bel Powley, from 2015's The Diary Of A Teenage Girl. The award, which has previously been won by the likes of Tom Hardy, James MacAvoy and Kristen Stewart, is voted on by the public.
Jack O'Connell took it last year following his memorable performance in Yann Demange's stunning feature directorial debut 71.
The BAFTA ceremony will take place on February 14.