The Sisterhood of the Traveling Pants actress, 29, and The Increasingly Poor Decisions of Todd Margaret actor, 48, tied the knot on Saturday, a rep for the actress confirmed to PEOPLE.
The couple announced their engagement in August 2011.
Director Lance Bangs shared a snapshot of Tamblyn and Cross slow dancing at their reception on Instagram.
Instagram / LanceBangs
"Yo La Tengo playing Superchunk, Mission of Burma, and Pixies covers at David and Amber's wedding," he wrote.
A source tells PEOPLE that Yo La Tengo wasn't the only celebrity performance – Questlove of The Roots was deejay.
This is the first marriage for both.