Wood, 25, first dated Bell, 26, in 2005 when they both appeared in Green Day's "Wake Me Up When September Ends" music video.
They broke up in 2006 and Wood went on to get engaged to shock rocker Marilyn Manson in 2010.
She reconnected with Bell last year after breaking up with Manson and she married Bell Tuesday, People.com reported Wednesday.
"The bride wore a custom dress by Carolina Herrera," her representative said in a statement to the celebrity news website. "It was a small ceremony with close family and friends."
No other details about the service, including where it took place, were immediately available.
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