Baumann announced the happy news in a series of posts on his official Twitter account.
"Yesterday was Bloomsday. Yesterday, a friend named after Stephen Dedalus officiated my marriage. Yesterday: Aviva said yes," the actor tweeted on Sunday (June 17).
The mention of Stephen Dedalus is a reference to the literary alter ego of the iconic Irish poet James Joyce.
A spokesperson for the actor has since confirmed the marriage in a statement to media outlets.
Baumann currently plays Ben Boykewich on The Secret Life of the American Teenager. He has also had roles in Castle and Eli Stone.
He is said to have met Farber on the set of their film Spring Break '83.
Watch a Spring Break '83 trailer below: