O'Hare is best known for his work on TV's "True Blood" and in the Broadway musical "Take Me Out," for which he won a Tony Award.
"Okay," O'Hare said via Twitter Thursday. "It happened. Hugo and I just got married."
E! News said the actor also posted a wedding picture of Redwood and him with the caption, "Mr. And Mr."
Lohan bows out of London performances