Pryce is mostly known for his roles as Elliot Carver in Tomorrow Never Dies, Sam Lowry in Brazil, King James I/VI of England in The New World, Juan Perón in Evita, Govenor Weatherby Swann in the Pirates of the Caribbean Movie Series, U.S. President in both G.I. Joe the Rise of Cobra, and in G.I. Joe Retaliation.
Pryce was born in Holywell, Flintshire, Wales on 1 June 1947. He studied at the Royal Academy of the Dramatic Arts. He was raised in London, England. Pryce is currently married to Kate Fahy since 1974.