- In 2006, received National Board of Review Award for Best Ensemble
- In 2005, received Golden Globe Award for Best Performance by an Actor in a Motion Picture - Drama
- In 2005, received Golden Globe Award for Best Motion Picture - Drama
- In 2005, received MTV Movie Award for Best Male Performance
- In 1998, received MTV Movie Award for Best Male Performance
- In 1997, received Berlin International Film Festival Award for Best Actor
- In 1993, received National Board of Review Award for Best Supporting Actor
- In 1993, received Los Angeles Film Critics Association Award for New Generation
