- In 2006, received MTV Movie Award for Best Fight
- In 2003, received Citizen of the World Award
- In 2000, received ShoWest Award for Supporting Actress
- In 1999, received Academy Award for Best Supporting Actress
- In 1999, received Screen Actors Guild Award for Outstanding Performance by a Female Actor in a Supporting Role in a Theatrical Motion Picture
- In 1999, received Broadcast Film Critics Association Award for Best Supporting Actress
- In 1999, received Golden Globe Award for Best Supporting Actress
- In 1998, received Golden Globe Award for Best Actress in a Mini-Series or Motion Picture Made for Television
- In 1998, received National Board of Review Award for Breakthrough Performance
- In 1998, received Screen Actors Guild Award for Outstanding Performance by a Female Actor in a Television Movie or Miniseries
- In 1997, received Golden Globe Award for Best Supporting Actress in a Series, Mini-Series or Made-for-Television Movie
