| Year | Category | Nominee | Noms |
|---|---|---|---|
| 1947 | Best Direction | Elia Kazan | Awards winner |
| 1947 | Best Play | Arthur Miller | Awards winner |
| 1987 | Best Performance by an Actor in a Featured Role in a Play | Jamey Sheridan | |
| 1987 | Best Performance by an Actor in a Leading Role in a Play | Richard Kiley | |
| 1987 | Best Revival | Jay H. Fuchs | Awards winner |
| 1987 | Best Revival | Steven Warnick | Awards winner |
| 1987 | Best Revival | Charles Patsos | Awards winner |
| 2019 | Best Performance by an Actor in a Featured Role in a Play | Benjamin Walker | |
| 2019 | Best Performance by an Actress in a Leading Role in a Play | Annette Bening | |
| 2019 | Best Revival of a Play | All My Sons |
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