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Free riding has a great influence on the expandability, robustness and availability of Peer-to-Peer (P2P) network. Controlling free riding has become a hot research issue both in academic and industrial communities. An incentive scheme is proposed to overcoming free riding in P2P network in this paper. According to the behavior and function of nodes, the P2P network is abstracted to be a Distributed and Monitoring-based Hierarchical Structure Mechanism (DMHSM) model. A utility function based on several influencing factors is defined to determine the contribution of peers to the whole system. This paper also introduces reputation and permit mechanism into the scheme to guarantee the Quality of Service (QoS) and to reward or punish peers in the network. Finally, the simulation results verify the effectiveness and feasibility of this model.