Abstract: The traditional game theory is based on the assumption that all the players have full knowledge. This assumption, however, can notbe usuallymet in practice because ofthe incompletion of information and the difference between ways used by the players to acquire information. As a result, the static game with incomplete infromation should be discussed. According to the epistemic utility theory, the static game with incomplete information is discussed. Based on the hypothesis that each player only knows the set of the distribution of other players’type, a static game model of incomplete information is set up by applying the quasi-Bayesian theory.