This is the second child for Alec and Hilaria, who welcomed their daughter, Carmen Baldwin, on Aug. 23, 2013. Alec also has a daughter, 19-year-old Ireland Baldwin, with his ex-wife, Kim Basinger.
Last month, the 57-year-old actor admitted to ET Canada that he loves his family so much, he gets "mildly depressed" when he's away from them.
"I can't even describe to you," the former 30 Rock star said. "I got to the hotel and I was mildly depressed because I was away from my kid and wife, I am OK now. … I have my wife, we have our daughter, we're having our son in July, so my life is really different now. It's all about that. And work is important -- I am happy to be working but I tell my wife every day, I hope she makes a lot of money one day so I can stay home. I'm done."