Britain's Got Talent and X Factor mogul Simon tweeted the sweet photographs to his fans last night (5 May) and it's fair to say the tot is growing up fast!
Dressed in a striped outfit with little white collar, Eric can be seen popping his head up from behind a sofa in one of the pictures. In another, he is lying down on Simon's lap while looking up at his dad.
Simon has also tweeted a picture of his girlfriend Lauren Silverman cradling their son in her arms. Alongside it, he wrote: "Mum and Eric."
The British TV star added: "Very handsome like his dad." Trust Simon to say that!
Simon flew back into the UK with Lauren and Eric yesterday and gave fans an update on their boy after congratulating One Direction on their current stadium tour.
He said: "Back to the UK today. Hope you are enjoying Got Talent. Next week's show has a very special audition.
"Hearing very good reports on the One D stadium tour. I hear the shows are very special."
He added: "And my little boy Eric is healthy and happy."
Simon became a dad for the first time on Valentine's Day - 14 February - after Lauren gave birth to Eric in New York.
They named their tot after Simon's late-father.
Celebrities who have welcomed babies in 2014:
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