| Academy Award Nominations: |
| Best Supporting Actor: Michael Lerner |
| Best Art Direction: Dennis Gassner & Nancy Haigh |
| Best Costume Design: Richard Hornung |
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| Golden Globe Nominations: |
| Best Supporting Actor: John Goodman |
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| Other Awards: |
| Cannes Film Festival: Palme d'or (Best Picture); Best Director; Best Actor (Turturro) |
| New York Film Critics Circle: Best Supporting Actress (Davis; also cited for Naked Lunch); Best Cinematography (Roger Deakins) |
| Los Angeles Film Critics Association: Best Supporting Actor (Lerner); Best Cinematography (Deakins; also cited for Homicide) |
| National Society of Film Critics: Best Cinematography |