Cowell, 55, is seen in the snapshot lying on bed in a pair of casual grey tracksuit bottoms and a T-shirt. He is holding up an iPad with Eric lying comfortably on his chest as he looked at the screen intently, reported Ace Showbiz.
"After watching the Jungle Book1000 times we have moved on to the Lion King," so read its accompanying caption.
Cowell and girlfriend Lauren Silverman welcomed Eric in February 2014 and he recently admitted he would love to have more addition to his brood.