Simon Cowell, 54, confirmed the baby boy will be called Eric, after his own father.
The music mogul tweeted: “Very happy to say Eric was born at 17.45pm. Healthy and handsome.
“Lauren in great shape. Thanks for all of your kind messages. Named after my dad.”
Baby Eric weighed 6lbs 7oz.
Simon Cowell had jetted over to New York to be by Lauren Silverman’s side as she gave birth on Valentine’s Day.
According to reports, Lauren Silverman had not been due to give birth for another couple of weeks.
Earlier this week, Simon Cowell had said he was keen for his first child to be raised with a British accent.
“I haven’t really thought about it a lot but it would be odd, me being a Brit, having a baby who talks with an American accent,” Simon Cowell said at the London auditions of Britain’s Got Talent.
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