| Year | Movie | Award | Category | |||
| 1960 | The Sundowners | Academy of Motion Picture Arts and Scie | Best Actress | |||
| 1960 | The Sundowners | New York Film Critics Circle | Best Actress | |||
| 1958 | Separate Tables | Hollywood Foreign Press Association | Best Performance by an Actress in a Motion Picture - Drama | |||
| 1958 | Separate Tables | Academy of Motion Picture Arts and Scie | Best Actress | |||
| 1957 | Heaven Knows, Mr. Allison | New York Film Critics Circle | Best Actress | |||
| 1957 | Heaven Knows, Mr. Allison | Academy of Motion Picture Arts and Scie | Best Actress | |||
| 1957 | Heaven Knows, Mr. Allison | Hollywood Foreign Press Association | Best Performance by an Actress in a Motion Picture - Drama | |||
| 1956 | The King and I | Academy of Motion Picture Arts and Scie | Best Actress | |||
| 1956 | The King and I | Hollywood Foreign Press Association | Best Performance by an Actress in a Motion Picture - Musical or C | |||
| 1953 | From Here to Eternity | Academy of Motion Picture Arts and Scie | Best Actress | |||
| 1949 | Edward, My Son | Hollywood Foreign Press Association | Best Actress | |||
| 1949 | Edward, My Son | Academy of Motion Picture Arts and Scie | Best Actress | |||
| 1947 | I See a Dark Stranger | New York Film Critics Circle | Best Actress | |||
| 1947 | Black Narcissus | New York Film Critics Circle | Best Actress |