Weisz, 48, gave birth after announcing that she was pregnant back in April.
It is her first child with her husband Craig, 50, who plays James Bond in the British spy blockbusters.
The ultra private couple got married in 2011 and sources say they are ‘very happy’ about the new baby.
Actress Weisz also shares a son Henry, 12, with director Darren Aronofsky, while Craig has a daughter, Ella, 26, with former wife Fiona Loudon.
The new mom was last pictured earlier this month in New York, where she covered her large baby bump with a black top.
Talking about her pregnancy she told The New York Times: “Daniel and I are so happy. We’re going to have a little human. We can’t wait to meet him or her. It’s all such a mystery.”
Craig is preparing to resume his 007 role in ‘Bond 25’ which is being written and will be directed by Danny Boyle.
Filming of the blockbuster will begin in December.
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