"Words cannot describe the happiness I am feeling. Overwhelming," the 25-year-old actress tweeted Wednesday.
Wood -- most famous for her roles in True Blood, The Wrestler and Thirteen -- "wore a custom dress by Carolina Herrera," her rep said in a statement, adding the stars wed before a small crowd of "close family and friends."
Wood and Bell -- the 26-year-old best known for his role in 2000's Billy Elliot -- first began dating in 2005 while filming the video for Green Day's Wake Me Up When September Ends. Wood was, at one time, engaged to rocker Marilyn Manson.
Don't forget, we exclusively reported Bell was shopping for an engagement ring after he and Wood rekindled their romance following a previous break-up.