Morgan replied: "Captain America wouldn't wear a papoose".
Others attempted a more rational approach by explaining the benefits of baby carriers, which allow parents to keep children close, yet have their hands unoccupied while strolling on the street.
Most comments defended Craig, who also has an older daughter from a previous marriage, for using the carrier to transport his child while walking in NY.
People immediately roasted Morgan's tweet, contending that there's nothing wrong with a dad using a baby carrier to hold his child. "There's nothing more manly than being involved with and caring for your child".
Craig, whose actress wife Rachel Weisz gave birth to a baby girl last month, has yet to comment.
Former WWE star Adam Copeland posted a photo of himself holding his child in his arms, which Morgan should love, while dressed as Elsa from "Frozen" at the behest of his daughter.
You can't do anything out of the ordinary nowadays without someone pulling you up on it - try telling Piers Morgan that. Then came the unsolicited commentary from Morgan, who said wearing a baby carrier is emasculating.