The contradiction between the explosive growth of data traffic and the lack of edge server resources brings great challenges to the resource allocation of mobile edge networks (MEC). In order to improve the utilization rate of the resources of the MEC, this paper proposes a resource allocation strategy based on stable user pairing. Firstly, the frame structure of the mobile edge computing network is optimized based on the user matching model, and the matching service is classified according to the elements in the frame structure. Secondly, a resource allocation protocol based on stable user matching is proposed. Then, the system utility analysis is carried out on the unloading benefit and pairing benefit of users, and the optimization function of maximizing the system utility is established. A dynamic task unloading and resource allocation mechanism based on pairing theory is proposed. The simulation results show that the proposed algorithm reaches the convergence value quickly and the system benefit is high. Compared with the resource allocation schemes of various algorithms, it is proved that the scheme can effectively improve the performance of system capacity, delay and fairness.