According to the news source, Wood, 25, wed Bell, 26, during an intimate ceremony on Tuesday.
The couple reportedly began dating after they both starred in Green Day's 2005 music video Wake Me Up When September Ends. Their romance apparently cooled off in the following years, as Wood became engaged to Marilyn Manson in 2010 before reuniting with Bell.
A rep for the couple told People that Wood wore a dress by Carolina Herrera.
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