The wedding was attended by many of Criss' fellow "Glee" alums, including Lea Michele, John Stamos, Chord Overstreet and Harry Shum Jr.
The actor had announced his engagement to Swier in January 2018.
"Mia and I have had seven and a half years of fun, wacky, wonderful, CRAZY adventures together. And I'm happy to announce that we're kicking those adventures up a notch.
"We're going for it. To boldly go where neither of us have gone before. Engage," he had posted on Instagram.
Besides his successful Hollywood career, Criss co-owns a Hollywood piano bar, called Tram Stamp Granny's, with Swier.