Awards
| Year | Award | Category | Movie | Result |
|---|---|---|---|---|
| 2008 | Cannes Film Festival | Best Actor | Che (Part 1 & Part 2) | Won |
| 2003 | Academy Awards | Best Supporting Actor | 21 Grams (2003) | Nominated |
| 2003 | Chicago Film Critics Association | Best Supporting Actor | 21 Grams (2003) | Nominated |
| 2003 | Los Angeles Film Critics Association | Best Supporting Actor (Runner-up) | 21 Grams (2003) | Won |
| 2003 | Screen Actors Guild | Best Supporting Actor | 21 Grams (2003) | Nominated |
| 2001 | Berlin International Film Festival | Silver Bear for Best Actor | Traffic (2000) | Won |
| 2000 | Academy Awards | Best Supporting Actor | Traffic (2000) | Won |
| 2000 | Berlin International Film Festival | Silver Bear for Best Actor | Traffic (2000) | Won |
| 2000 | British Academy of Film and Television Arts | Best Supporting Actor | Traffic (2000) | Won |
| 2000 | Chicago Film Critics Association | Best Supporting Actor | Traffic (2000) | Won |
| 2000 | Golden Globes | Best Performance by an Actor in a Supporting Role in a Motion Picture | Traffic (2000) | Won |
| 2000 | National Society of Film Critics | Best Supporting Actor | Traffic (2000) | Won |
| 2000 | New York Film Critics Circle | Best Supporting Actor | Traffic (2000) | Won |
| 2000 | Screen Actors Guild | Best Actor | Traffic (2000) | Won |
| 2000 | Toronto Film Critics Association | Best Actor | Traffic (2000) | Won |
| 1996 | Independent Spirit Awards | Best Supporting Actor | Basquiat | Won |
| 1995 | Independent Spirit Awards | Best Supporting Actor | The Usual Suspects | Won |
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