With Tom Stoppard, Norman won the Oscar for Best Original Screenplay in the 71st Academy Awards of 1998, for his script of Shakespeare in Love. He also shared a Best Picture Oscar for the film as co-producer. Norman and Stoppard also won a
British Bafta for their screenplay and a Silver Bear for an outstanding single writing achievement at the 49th Berlin International Film Festival.
He wrote an episode of the Mission: Impossible TV series.
His latest original screenplay, Vivaldi, will be produced by Fox Searchlight in 2020.
Norman is the author of Bike Riding in Los Angeles. A Novel (New York: Dutton 1972) Oklahoma Crude (New York,Dutton 1973), Fools' Errand (New York, Norton, 1978), and What Happens Next?: A History of Hollywood Screenwriting (New York: Harmony Books 2007; UK: Aurum Press 2008).