A representative for the couple has confirmed reports the actress gave birth to a baby boy on Monday (29Jul13).
The spokesperson says, "Parents and baby are all doing well."
The pair announced the pregnancy news in January (13), three months after they became man and wife in October, 2012.
Just last week (ends19Jul13), The Ides of March star Wood took to Twitter.com to tell followers about her pregnancy cravings, writing, "Whoa. Peanut Butter Pop Tarts?! Of course, because I can't smoke any weed right now. Dammit!"