Yes, Jackie Chan does do his own stunts when he is on the set. That is why he has had so many broken bones and so many accidents. But it is also a big reason he has made such a name for himself. He has always been one who tumbled and did stunts, even as a child. He took martial arts and excelled as well. He is more fit to do his own stunts than a stunt man would be.
When Chuck Norris past, Chan somehow took his place a bit. Because he does do his own stunts, it was practical for him to do so. Jackie Chan takes great pride in doing his own stunts and his fans can't seem to get enough of watching, knowing that they are really him doing them.
Yes, Jackie Chan does his own stunts; he has broken a number of bones to prove he does his own stunts. He is one of the world’s top martial art film actors that perform their stunts. He is known for his own style of martial art and he is reckless towards his own safety.
Jackie Chan did his own stunt even with injuries in “Rumble in the Bronx”. He said “I broke my ankle while jumping onto a hovercraft in Rumble in the Bronx”. After the bone was set and a cast put in place, he went back to set and put on a sock on the broken foot to finish the movie.