Published Friday, 14 February 2014
Simon Cowell is a father for the first time. (© Getty)
The 36-year-old new mum welcomed the baby boy at Lenox Hill Hospital in New York on Friday.
Music and TV mogul Cowell dashed across the Atlantic from London when he heard Silverman had gone into labour on Friday morning, so he could be by her side for the Valentine's Day delivery.
He left his seat at the auditions for Britain's Got Talent beside fellow judges David Walliams, Alesha Dixon and Amanda Holden empty.
On Twitter, he spoke of his joy after the birth, also revealing he named his first child after his father.
"Lauren in great shape. Thanks for all of your kind messages. Named after my dad," he wrote.
Earlier, David Walliams joked that Cowell had named his son after a host of celebrities and an ex-girlfriend.
He tweeted: "Huge congratulations to @SimonCowell and Lauren Silverman on the birth of their son. They have named him David Sinitta Louis-Walsh Cowell.
Alesha tweeted: " Congratulations!!! Yay!!! Such great news! Welcome to the world baby Eric! Lots of love xxx #youweremissedtoday :)"
Amanda said she was "absolutely delighted" for Cowell. "Great name. Love love love to you both."
Piers Morgan also took to Twitter to say that calling the baby Eric in honour of the father Cowell "adored" is a "lovely tribute".
Cowell's father died of a heart attack in 1999 aged 81 and the star has previously described him as a "brilliant mentor".
The boy is the 54 year old's first child and Silverman's second - she also has an eight year old son with her ex-husband Andrew Silverman.
© UTV News