| Year | Event | Category | Film | Result |
|---|---|---|---|---|
| 2023 | Golden Globe Awards | Best Actor - Drama | The Old Man | Nominated |
| 2017 | Academy Awards | Best Supporting Actor | (2016) | Nominated |
| 2011 | Academy Awards | Best Actor | True Grit | Nominated |
| 2001 | Academy Awards | Best Supporting Actor | The Contender | Nominated |
| 1985 | Academy Awards | Best Actor | (1984) | Nominated |
| 1975 | Academy Awards | Best Supporting Actor | Thunderbolt and Lightfoot | Nominated |
| 1972 | Academy Awards | Best Supporting Actor | The Last Picture Show | Nominated |