| Year | Movie | Award | Category | |||
| 1995 | Truman | Hollywood Foreign Press Association | Best Performance by an Actor in a Miniseries or Motion Picture Ma | |||
| 1994 | Forrest Gump | Hollywood Foreign Press Association | Best Performance by an Actor in a Supporting Role in a Motion Pic | |||
| 1994 | Forrest Gump | Academy of Motion Picture Arts and Scie | Best Supporting Actor | |||
| 1994 | Forrest Gump | National Board of Review | Best Supporting Actor | |||
| 1994 | Forrest Gump | Screen Actors Guild | Best Supporting Actor |