Martial art as known as Wushu, is a traditional sport in Chinese society. The martial art focuses not only on the competition, but also on the mental and physical refinement during the learning process. Because of the healthy life concerned and curiosity of oriental culture, martial art becomes more and more popular worldwide. In this kind of socio-background, the market economic system introduces the transmitting system of martial art sustained originally by the social norm. The “social norm” here refers to mentor-apprenticeship and some other social right and responsibility. In this kind of situation, many problems arise. For example, the martial art could be forced to be priced; the marital art may get involved in the issue of property right etc. This research intended to discuss: Where do these problems come from? What is the effect of these problems? How do we solve these problems? Research was made by game theory analysis of law. Firstly, the researcher went through the documentary to find out two characters of the transmitting system. One character is the concept of tacit knowledge by Michael Polanyi. Tacit knowledge means that some of martial art knowledge can be learned by communication, however, mostly learned by practice. The other character is that there is the problem of “intentionally having a few tricks up their sleeves” when transmitting the martial art. Because of some reasons or purposes, mentor is unwilling to transmit all the knowledge to his apprentice. Secondly, researcher transformed these two traits above into game model to show the interactions between mentor and apprentice by extensive form game, to get the equilibrium solution by backwards induction. Researcher concluded some different equilibrium solutions to illustrate the game meaning of the mentor – apprenticeship, and to discuss how the market economy affects the transmitting of mentor – apprenticeship. For example, the market economy might destroy the trust in mentor-apprenticeship, or make the back-off problem even worse...etc. Lastly, researcher got the solution according to the analysis: Defining and dividing the Property right of martial art, and drafting the contract copy of mentor – apprenticeship could be the options to solve the problem above. Theory structure in this research can make the reference for making policy and further research.