The Horrible Bosses star's wife Amanda Anka gave birth to the couple's second child on Friday, February 10 in Los Angeles, People reports.
Bateman and Anka already have a 5-year-old daughter named Francesca Nora.
Anka's father singer Paul Anka first announced that the couple were expecting their second child in August 2011.
"I'm going to be a grandfather again," he told Entertainment Tonight at the time.
The 43-year-old actor is currently preparing to shoot the new season of Arrested Development before moving on to a film featuring the cast of the axed Fox comedy.
Watch Jason Bateman discuss the upcoming Arrested Development movie with Digital Spy below: