Alec and Hilaria Baldwin
Hilaria Baldwin checked into New York's Mount Sinai hospital on Friday (23.08.13) where she gave birth to the couple's first child, who they named Carmen.
Hilaria tweeted: "We are overjoyed to announce the birth of our daughter Carmen Gabriela. She is absolutely perfect (sic)."
55-year-old Alec's daughter Ireland, 17, from his marriage to Kim Basinger, also took to Twitter to share her joy.
She wrote: "Welcome to the world, Carmen! I'm a f***ing sister!" The best big sister!! Love you so much (sic)."
A source told the New York Daily News: "Alec is overjoyed."
Hilaria previously revealed plans for a natural childbirth, although she admitted she could choose an epidural if the pain got too bad.
She said: "Right now, I want to do it naturally. That's not to say there's something wrong with the epidural, but that's the way I was raised - I'm a pretty natural person. But if it does get to the point where I am screaming for the epidural, I have no problems with that. We'll see where it goes."
Tagged in Alec Baldwin Ireland Baldwin Hilaria Baldwin