| Year | Event | Category | Film | Result |
|---|---|---|---|---|
| 2020 | Academy Awards | Best Actor | (2019) | Winner |
| 2020 | Golden Globe Awards | Best Actor - Drama | (2019) | Winner |
| 2020 | Screen Actors Guild Awards | Outstanding Performance by a Male Actor in a Leading Role | (2019) | Winner |
| 2020 | British Academy Film Awards | Best Leading Actor | (2019) | Winner |
| 2017 | Cannes Film Festival | Best Actor | - | Winner |
| 2013 | Academy Awards | Best Actor | (2012) | Nominated |
| 2006 | Academy Awards | Best Actor | (2005) | Nominated |
| 2001 | Academy Awards | Best Supporting Actor | (2000) | Nominated |