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