Berlin International Film Festival 1997 - Silver Berlin Bear - Best Actor for Romeo + Juliet (1996)
Blockbuster Entertainment Awards 1998 - Blockbuster Entertainment Award - Favorite Actor - Drama for Titanic (1997)
1997 - Blockbuster Entertainment Award - Favorite Actor - Romance for Romeo + Juliet (1996)
Central Ohio Film Critics Association 2007 - COFCA Award - Best Actor for The Departed (2006)
Chicago Film Critics Association Awards 1994 - CFCA Award - Emerging Actor for What's Eating Gilbert Grape (1993)
Chlotrudis Awards 1997 - Chlotrudis Award - Best Supporting Actor for Marvin's Room (1996)
Golden Globes, USA 2005 - Golden Globe - Best Performance by an Actor in a Motion Picture - Drama for The Aviator (2004)
Hollywood Film Festival 2004 - Hollywood Film Award - Actor of the Year
Irish Film and Television Awards 2007 - Audience Award - Best International Actor for The Departed (2006)
Los Angeles Film Critics Association Awards 1993 - New Generation Award
MTV Movie Awards 2005 - MTV Movie Award - Best Male Performance for The Aviator (2004)
1998 - MTV Movie Award - Best Male Performance for Titanic (1997)
National Board of Review, USA 2006 - NBR Award - Best Ensemble for The Departed (2006) Shared with Matt Damon, Jack Nicholson, Mark Wahlberg, Martin Sheen, Ray Winstone, Vera Farmiga, Alec Baldwin, Anthony Anderson, James Badge Dale
1993 - NBR Award - Best Supporting Actor for What's Eating Gilbert Grape (1993)
Palm Springs International Film Festival 2009 - Ensemble Performance Award for Revolutionary Road (2008) Shared with Kate Winslet, Kathy Bates, Michael Shannon, Kathryn Hahn, David Harbour, Zoe Kazan
Razzie Awards 1999 - Razzie Award - Worst Screen Couple for The Man in the Iron Mask (1998/I) As twins.
Satellite Awards 2006 - Satellite Award - Best Actor in a Supporting Role for The Departed (2006)
Teen Choice Awards 2003 - Teen Choice Award - Choice Movie Liar for Catch Me If You Can (2002)