The Garden State funnyman, 30, and singer/actress, 21, starting dating exactly a year ago (JAN05), but have refused to confirm they were a couple until now.
However, the pair happily posed for photos at the Hollywood awards on Monday and Braff told of his excitement of Moore's guest role in Scrubs.
He says, "Mandy is an amazing comedian and I don't think a lot of people have gotten the chance to see her do broad, physical comedy. It really gave her a chance to show off that side of her."
Meanwhile, Braff's co-star Sarah Chalke enthuses, "They are the sweetest couple."