Brad Cafarelli, a rep for the actress, confirmed that the two were wed in a quiet ceremony on Monday (May 19), reported People
A source revealed that Alba and Warren married in the ceremony room at a Beverly Hills courthouse under an arch bearing green silk leaves and white flowers.
"She looked happy but nervous," said one source, who added that there were no attendees at the wedding.
The pair was engaged last December, and they are expecting a baby girl this summer.