"We are overjoyed to announce the birth of our daughter Carmen Gabriela. She is absolutely perfect. @ABFalecbaldwin @IrelandBBaldwin," the first-time mom announced via Twitter.
The yoga instructor and the 55-year-old actor had announced in March that they were expecting a daughter.
"Alec and I are overjoyed that we are going to be welcoming a little girl into our lives," she had said.
Bladwin, who already is a father to 17-year-old daughter Ireland with ex-wife Kim Basinger, was just as excited to be a second-time dad.
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The actor had also hinted in a June interview that he'd be willing to trade his Hollywood life to be a full-time family man this time around.
"I have one dream in my life and that is that this daughter I'm having -- she comes to me about seven or eight years from now, she has a friend, and she's at her house and she says, 'Daddy, Susie's mom says you used to be on TV. Daddy, is that true?' She has no knowledge of me as a public person. That would be heaven for me.
The couple married in June 2012 and first announced they were expecting on February 12, 2013.