Henry and his wife have three boys. They had their first child, Samson, in 2018. In 2021, they welcomed twin boys, Max and Leo. He told Playbill about how he talked to Samson, 4, about his part in "Beauty in the Beast." 'I told him, 'Daddy's gonna be this superhero,'" he explained. "Gaston is this hunter. He's fierce. He's well-respected in the community. Yes, he's got some other things, but he's charming."