The music mogul and girlfriend Lauren Silverman are proud parents to baby Eric, born on Valentine's Day last year.
While he always looks good as gold in pictures we've seen of him, X Factor boss Simon has claimed a fellow passenger on a flight to Florida wasn't so happy…
Simon tweeted: "Just arrived in Miami. The @British_Airways team were great. Eric travelled with us but one really really grumpy man complained. A Lot!
"He asked to be moved. Complained to the staff. And there was a lot of sighing and tutting. The other passengers were amazing."
Cute baby and dad moments!
Simon will be back on our screens soon with Britain's Got Talent, which returns soon. Another series of X Factor will also air later in the year.
He's clearly hoping for the biggest and best series yet as auditions are being held across 50 towns and cities in the UK and Ireland, starting from April.
"The X Factor is coming back and if you think you have the potential to be a world class star, this is your chance to prove it," said Simon.
"You really could be the next pop superstar."
For full list visit here