- In 2007, received Independent Spirit Award for Best Supporting Female
- In 2001, received Broadcast Film Critics Association Award for Best Supporting Actress
- In 2000, received Boston Society of Film Critics Award for Best Supporting Actress
- In 2000, received Los Angeles Film Critics Association Award for Best Supporting Actress
- In 1998, received Sundance Film Festival Piper-Heidsieck Tribute for Independent Vision
- In 1997, received Independent Spirit Award for Best Female Lead
- In 1997, received London Film Critics Circle Award for Best Actress
- In 1997, received Broadcast Film Critics Association Award for Best Actress
- In 1997, received Screen Actors Guild Award for Outstanding Female Actor in a Leading Role
- In 1997, received Academy Award for Best Actress in a Leading Role
- In 1996, received National Board of Review Award for Best Actress
- In 1994, received Golden Globe Award for Best Ensemble Cast
- In 1993, received Venice Film Festival Award for Best Ensemble Cast
- In 1988, received National Board of Review Award for Best Supporting Actress
