Weighing 6 pounds, 7 ounces, little Eric looks very comfortable in his father's arms as Cowell cradles the newborn. The new father, 54, named his first child after his late father.
Eric seems to have no problem resting comfortably on his father's chest while sleeping, and the photos make it easy to forget that Cowell is, in fact, the cutthroat "X Factor" judge who has led many a contestant to tears.
Us Weekly exclusively revealed the couple's pregnancy in July 2013, after news broke of Cowell and Silverman's romance. Silverman divorced the British producer's former pal Andrew Silverman in August 2013, and has a 7-year-old son named Adam with him.
In an October 2013 interview with Parade magazine, Cowell admitted he was anxious to become a father. "I'm not brilliant with babies," the TV personality confessed. "I never know what to do. But [once he's older] I think I'll be a good dad in terms of advice. And then I'll get to do all the things I want to do, like go to Disneyland or Universal Studios, teach him how to drive -- I love all that."