Finney, who received four best actor Oscar nominations and won three Golden Globes, “passed away peacefully after a short illness with those closest to him by his side”, the spokesman said.
He grew up in Manchester, northwest England, and studied at the Royal Academy of Dramatic Art.
He started out in William Shakespeare plays and mixed his movie career with acclaimed theatre roles.
His more recent films include “The Bourne Ultimatum” (2007), “The Bourne Legacy” (2012), and the James Bond film “Skyfall”, out the same year.
His four best actor Academy Award nominations were for “Tom Jones” (1963), “Murder on the Orient Express” (1974), “The Dresser” (1983) and “Under the Volcano” (1984).
He was also nominated for best supporting actor for his performance in “Erin Brockovich” (2000).