The 55-year-old is currently working on the new series of The X Factor alongside fellow judges Cheryl Fernandez-Versini, Mel B and Louis Walsh, but the proud dad took a night off as he headed to the Pride of Britain awards.
Simon Cowell shared a photo of himself and baby Eric in matching sunglasses on Twitter
"Eric is amazing, he's great," Simon told Grazia. "His outfits are incredible – we have so many clothes for him it's embarrassing, we could open up a baby boutique."
Simon, who became a father for the first time in February when his girlfriend Lauren Silverman welcomed her second son on Valentine's Day, had previously revealed that little Eric is a high spirited baby.
"He's been a very, very happy baby," Simon told the Daily Mirror. "The other night I heard him cry at 4.30 in the morning so I went up to see him and within five minutes he was back to sleep, happy again."
Baby North joined parents Kim Kardashian and Kanye West on the front row at Balenciaga
With such a vast wardrobe, it could be that baby Eric is joining the ranks of well-dressed babies including Kim Kardashian's daughter North West, who graced the front rows of high fashion shows Balenciaga and Givenchy during the Spring 2015 Fashion Week season.
North is not the first baby to make her Fashion Week debut on the front row however, with three-year-old Harper Beckham joining father David and Vogue editor-in-chief Anna Wintour on the front row of mum Victoria Beckham's Autumn/Winter 2014 show in February.