According to papers filed Friday in Los Angeles Superior Court, Bush married Murray on April 16 and the pair separated five months later.
The 23-year-old actress also requested that the court terminate its ability to award spousal support to Murray, 24.
Calls to Bush's attorney, Fern Wender, on Wednesday were not immediately returned, and Murray's publicist, Megan Moss, declined to comment.
Actress Renee Zellweger, whose marriage to country music artist Kenny Chesney was annulled in December, also cited fraud in her court filing, but said the term was merely a legal one and not a reflection of Chesney's character.
Bush and Murray met while filming the WB network's "One Tree Hill," in which Bush is sassy cheerleader Brooke Davis and Murray is brooding basketball player Lucas Scott.
Bush has also appeared in the films "Supercross" and "Learning Curves." Murray has had recurring roles in "Dawson's Creek" and "Gilmore Girls" and starred opposite Hilary Duff in "A Cinderella Story."