Academy of Motion Picture Arts and Sciences
| Nominated |
Best Supporting Actor Melvin and Howard |
1980 |
| Won |
Best Supporting Actor Julia |
1977 |
| Won |
Best Supporting Actor All the President's Men |
1976 |
Cannes Film Festival
| Won |
Best Actor Long Day's Journey into Night |
1962 |
Hollywood Foreign Press Association
| Nominated |
Best Performance by an Actor in a Miniseries or Motion Picture Made for Television Sakharov |
1984 |
| Nominated |
Best Performance by an Actor in a Motion Picture - Musical or Comedy A Thousand Clowns |
1965 |
| Nominated |
Best Performance by an Actor in a Supporting Role in a Motion Picture Melvin and Howard |
1980 |
| Nominated |
Best Performance by an Actor in a Supporting Role in a Motion Picture Julia |
1977 |
| Nominated |
Best Performance by an Actor in a Supporting Role in a Motion Picture All the President's Men |
1976 |
Los Angeles Film Critics Association
| Won |
Best Supporting Actor Julia |
1977 |
National Board of Review
| Won |
Best Actor Long Day's Journey into Night |
1962 |
| Won |
Best Actor Tender Is the Night |
1962 |
| Won |
Best Supporting Actor All the President's Men |
1976 |
National Society of Film Critics
| Won |
Best Supporting Actor All the President's Men |
1976 |
New York Film Critics Circle
| Won |
Best Supporting Actor All the President's Men |
1976 |
