Awards
| Year | Award | Category | Movie | Result |
|---|---|---|---|---|
| 1973 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Ash Wednesday (1973) | Nominated |
| 1972 | Berlin International Film Festival | Silver Bear for Best Actress | Hammersmith Is Out | Won |
| 1966 | Academy Awards | Best Actress | Who's Afraid of Virginia Woolf? | Won |
| 1966 | British Academy of Film and Television Arts | Best British Actress | Who's Afraid of Virginia Woolf? | Won |
| 1966 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Who's Afraid of Virginia Woolf? | Nominated |
| 1966 | National Board of Review | Best Actress | Who's Afraid of Virginia Woolf? | Won |
| 1966 | New York Film Critics Circle | Best Actress | Who's Afraid of Virginia Woolf? | Won |
| 1960 | Academy Awards | Best Actress | Butterfield 8 | Won |
| 1960 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Butterfield 8 | Nominated |
| 1959 | Academy Awards | Best Actress | Suddenly, Last Summer (1959) | Nominated |
| 1959 | Golden Globes | Best Performance by an Actress in a Motion Picture - Drama | Suddenly, Last Summer (1959) | Won |
| 1958 | Academy Awards | Best Actress | Cat on a Hot Tin Roof (1958) | Nominated |
| 1957 | Academy Awards | Best Actress | Raintree County | Nominated |
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