Simon Cowell and Lauren Silverman Welcome a Baby Boy
Last November, Cowell told E! that he and Silverman, 36, agreed on a name which, at press time, has not been revealed.
"I'm not going to say what it is yet, but I'm happy," Cowell said at The X-Factor finalists' party.
This is Cowell's first child; Silverman has a son, Adam with ex-husband, Andrew Silverman.