Considering the game phenomenon of rumor spreading in social network, we build a social network rumor spreading model based on game theory, there are two kinds of nodes, one is the health node, the other one is the spread node. The nodes according to their own income to choose the most appropriate strategies to maximize their own interests, and get the Nash equilibrium finally. In this paper, we analyze the benefits of various types of nodes, and use the appropriate parameters to describe the income of nodes in the evolution model. MATLAB is used as an experimental platform to test the parameters of different conditions, and the experimental results prove the correctness of the proposed model. This study is conducive to people from the perspective of game theory to further understand the spread of rumors on the social network mechanism, but also provides a theoretical reference for the prevention and control of rumors..