| Year | Award | Category | ||
| 1989 | Independent Spirit Awards | Best Picture | ||
| 1989 | Cannes Film Festival | Palme d'Or | ||
| 1989 | Independent Spirit Awards | Best Supporting Actress | ||
| 1989 | Independent Spirit Awards | Best Director | ||
| 1989 | Independent Spirit Awards | Best Actress | ||
| 1989 | Cannes Film Festival | Best Actor | ||
| 1988 | Los Angeles Film Critics Association | Best Actress | ||
| 1988 | Los Angeles Film Critics Association | New Generation Award | ||
| 1988 | Sundance Film Festival | Audience Award |