The actress welcomed the tot, a younger brother for 23-month-old Apple, at an unknown location over the weekend, Paltrow's representative has confirmed.
The couple have named their son Moses, after a song Coldplay frontman Martin wrote for his wife and which appeared on the British band's Live 2003 album, according to reports.
Paltrow only confirmed she was pregnant in January, after months of speculation. At the same time the actress' mother, Blythe Danner, hinted the couple was planning another unusual name for their second child. She said, "We love unusual names in the family."
Paltrow, 33, and Martin, 29, married in a secret ceremony in December 2003.
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