A representative for the couple told CNN: “Natalie Portman and her husband, Benjamin Millepied, welcomed a baby girl, Amalia Millepied, on 22 February.
“Mother and baby are happy and healthy.”
Amalia is a variation of the baby name Amelia, which was the most popular baby name in England and Wales in 2015.
Amelia has been the top baby name since 2011.
News that the couple were expecting their second child circulated in September 2016 when the actress unveiled her baby bump at the premiere of ‘Planetarium’ during the Venice Film Festival.
Millepied and Portman welcomed their first child in 2011 and married in 2012.
“I love being a mum,” she told The Telegraph in 2013. “I’m less judgmental than before I had a kid.
“The biggest thing I’ve learned is that parenting is a totally different experience for every person.”
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