What is Mixed Martial Arts? Mixed Martial Arts is a sport and approach to martial arts that draws the best moves from Boxing, Muay Thai, Wrestling, Judo, Brazilian Jiu-Jitsu, Submission grappling, and other practical styles. The claim to use the “best” moves in martial arts is not hype or hyperbole, it is proven, even scientific. Through live practice and competition, for each individual, techniques that work are adopted, and ones that do not are dropped.