According to what I’ve read on Youtube and their official website, they’ve got a quite interesting definition about this new sport:

Parcouring is a sport. We emphasize the term “sport” because Parcouring, dissimilar to Parkour, is not linked to ethical-philosophic conventions and charakter trails. It simply refers to overcome various obstacles during a competition.”To overcome obstacles”, also known as “Parcouring”, provides many oppotunities to use the existing environment as a part of sports equipment. Tournaments are held in two categories. More information on parcouring.com

Parcouring has two categories: Speed and Style. Check out some videos below: