Evan Rachel Wood and Jamie Bell
11/01/2012 AT 08:20 AM EDT
10/31/2012 AT 07:20 PM EDT
Evan Rachel Wood
is a married woman!
The actress, 25, tied the knot with actor Jamie Bell, 26, on Tuesday, a rep for Wood confirms to PEOPLE.
"The bride wore a custom dress by Carolina Herrera," the rep says in a statement. "It was a small ceremony with close family and friends."
The bride herself Tweeted
: "Words cannot describe the happiness I am feeling. Overwhelming," and "Song of the day '(today I met) the boy I'm gonna marry.' "
Retweeted guest Max Minghella: "yesterday I got to see my best friend exchange vows with the love of his life. Still coming down from high... #trueromance"
Wood, rumored to be engaged
to Bell since January, first dated him in 2005, after they both costarred in Green Day's "Wake Me Up When September Ends" music video. The pair got tattoos of each other's first initial.
Since their first courtship, Wood went on to have a highly publicized romance with Marilyn Manson, to whom she was engaged
in 2010, then reconnected with Bell.
Reporting by JULIE JORDAN