* Best Supporting Actor: For his role as U.S. Marshal Samuel Gerard in the 1993 film "The Fugitive."
* Best Adapted Screenplay: (shared with Kiowa Gordon and Stephen Peoples) for the 1991 film "The Three Burials of Melquiades Estrada."
He has also been nominated for two other Academy Awards:
* Best Supporting Actor: For his role as Clay Shaw in the 1991 film "JFK."
* Best Actor: For his role as U.S. President Woodrow Wilson in the 1995 film "Nixon."
So, in summary:
* Wins: 2
* Nominations: 4