Based on the related theory of trust, this paper proposes the TRPM for the spread of rumor. Starting from the individual nodes of the network, the model on the basis of the network information dissemination, studies the game behavior of rumors in social networks between propagators and audiences. At the same time, through the SEIR model with the combination of the trust mechanism, we show the revenue function of TRPM. Then, we compare the results of TRPM and the results of the network information dissemination model by applying simulation tools. We conclude that the trust mechanism can more truly reflect the law of the spread of rumors. Therefore, by introducing trust into propagation model, we can vividly describe the complexity of social network, and get more effective monitoring of rumors.