To study the seismic performance of the eccentric braced structure with shear multi-links proposed in this paper, on the basis of the test model, the link cross section was designed into a multi-link model based on the constant shear area of the link web. Then eight multi-link numerical models were established using ABAQUS software, and monotonic loading analysis and cyclic loading analysis were performed. The changes of failure modes, hysteresis curve, bearing capacity, stiffness and energy dissipation capacity with the number of links were analyzed. The results show that the plastic deformation of the link is fully developed, which effectively protects other non-energy dissipation members; the bearing capacity, yield displacement and energy dissipation capacity of the structure are better than those of the single link mode; The difference in initial stiffness of each multi-links model is small (within 4%), which is smaller than that of single-link model, but the multi-link model can delay the degradation rate of stiffness. In general, the multi-links model can improve the seismic performance and it is recommended to use 2 to 4 links which is worth popularizing as a new K-eccentrically braced steel frame structure.