The observably object of next-generation networks(i.e. 5G) is to support high bandwidth with high mobility .Various radio access technologies has different application scenarios, and these technologies will be seamlessly integrated in 5G network. How users can always select the best access network becomes an important problem. The existing methods are mostly concentrated in single flow network selection. In this paper, a multi-flow network selection model scheme based on bigraph is proposed. By calculating the satisfactions between flows and networks this scheme can distribute the flows on the object of fairness and most satisfaction. Analysis of the performance of the algorithm and prove the correctness of Algorithm. Numerical results show that the proposed schemes achieve significant satisfaction and Fair coefficient.