Abstract: The current single trust model can not deal with the trust computation well for different aspects and, on the other hand, the multiple-grain trust model only considers the inclusion relation between different domains but takes no account of their intersection relation. A novel Peer-to-Peer trust model is thus presented on the basis of domain model, which considers both the trust computation of different aspects and the intersection relation between different domains. Defining the domain model, the trust model is formally defined. Then, the convergence of iteration for trust computation is analyzed and the methods of distributed placement and acquisition of trust are given. Compared to the current trust model, the proposed one is more precision in trust computation of multiple aspects and more feasible in practical projects to compute peer trust.