"Looks familiar?" Simon captioned the picture of the pair, who are also sporting matching white T-shirts.
Looks familiar? pic.twitter.com/sw6nPTqFa8— Simon Cowell (@SimonCowell) January 16, 2015
Almost a year on from Eric's arrival, 55-year-old music mogul Simon has been vocal about how much he enjoys spending time with his son.
"Happy New Year. Sorry it's a bit late. Wishing you great things this year," he tweeted. "My New Year's Resolution is gyms are really boring and family, friends, kids and animals make you happier..."
The happy trio on holiday in Barbados
Simon and his partner Lauren Silverman are preparing to celebrate Eric's first birthday on 14 February.
The youngster made his way into the world in New York City when socialite Lauren gave birth at Lenox Hill Hospital – in the exclusive maternity ward where Beyoncé welcomed her daughter Blue Ivy.
Since his arrival, Eric has completed Simon and Lauren's family. The trio are often spotted out and about together and recently enjoyed a trip to Barbados.
Looking relaxed and happy, Simon and Lauren enjoyed a tender kiss on the sandy beach as Lauren held their son in her arms.