No birth details or name were given.
It's the second child for "The Grand Budapest Hotel" actor and his wife, Brady Cunningham, whom he wed in July 2009. Schwartzman, 33, and the fashion designer are already parents to daughter Marlowe Rivers, 3.
"Marlowe is super-excited about becoming a big sister," a source told Us Weekly when news of the pregnancy broke in December.
The actor, who has repeatedly collaborated with director Wes Anderson, will next appear in the Margaret Keane biopic "Big Eyes" with Amy Adams, Christoph Waltz and Ritter, and will star in Bob Byington's "7 Chinese Brothers."
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