The ITV programme will follow the actor at home and as he trains for his comeback fight in October, The Sun says.
He is allegedly in talks about which other members of his family will join the show.
"JC is an absolute legend and he's great value," a source said. "He's had quite a life and he's become a real character. You never quite know what he's going to do or say next."
The insider continued: "The plan is for cameras to follow him at home and in the run-up to his comeback fight. So as well as his home life we'll get to see his gruelling training regime, which with him being nearly 50 should be interesting."
Van Damme starred in movies including Time Cop, Blood Sport and Street Fighter.