This purpost of this research is to conclude the games for both chinese of straits in the Olympic Games during 1979 to 1986 through the constructure mode of game thorey, and the following results could be gained: 1.During 1979-1986, with the moderation of political ideology, both Chinese of straits transfer the Olympic membership for which struggled to only represent the whole "china" into the membership which are existing in the National Olympic Commission. As a matter of fact, it results form the political ideology of "One Nation, ATwo System". Therefore, the political idelogy involves the decision for strategy regarding Olympic Commission for both Chinese of straits. 2.From the Game Thorey, it's to find that both Chinese Olympic Comm issions are short of effective channel for Communication at the former term of this stage and produced the: Prisoner's Dilemma Game" gradually; however, under the condition that both acquired what they want and reduce the loss, after the "Olympic Agreement" entered, both sides have presented the "Prisoner's Dilemma Game" of mutual cooperation. Nevertheless, the "Olympic Agreement" is only a product as a result of compomise between both Chinese Olympic Commissions, in which there is still "non-euqal" relatioship hided and that naturally is a factor to the unstable activities of both Olympic games in the future, Aaccordingly, it's extremely possible for both Chinese of straits returning to the statemated "Zero-Sum game" in the former term that buries an unstable seed for both Olympic Commissions in the future as well.