Researching preference is significative in artificial intelligence. The paper shows the concept and example of CP-nets on preference representation firstly. And then game theory with strategy preference is proposed. For the nature relation between CP-nets and game theory on preference, this paper attempts to transform the question of CP-nets to game theory on three points which is concept, model and essential question(optimal outcome and Nash equilibrium) and the proves are given on the heel. Finally, the future work on relation and equivalence of CP-nets and game theory is presented.