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In social network, a considerable proportion of malicious users exist, which share sensitive personal information by using identity theft from the system. To address this problem, we present a trust mechanism of gravitation model based on reputation value in the social network. Our approach is that create a gravitation model, which is up to the reputation-value and the number of hops among users. By using this trust mechanism, the more the users contribute to the system, the more reputation the users can obtain. Therefore, the more popularity and the more benefits the users can gain from the system. The data results show that the trust mechanism assures the justice of gaining benefits for different kinds of users in the system. Hence, controls the malicious users effectively, and improves the whole security of the social network.