In order to study the topology optimization design of frame structure considering seismic load,the pseudo modal identification criteria and deletion measures based on low order modal energy and the improved polynomial stiffness matrix penalty model were introduced to solve the pseudo modal problems and the parasitic effects of low density areas of the structures under inertial loads.The mapping relationship between design variables and physical variables was established by using the Heaviside function,and the topological optimization model of frame structure was constructed,whose objective function was that the sum of structural modal compliance under the seismic loads was minimal and constraints were the volume constraint.The method of moving asymptotes was used to solve the optimization model.The results of the examples show that the proposed method can obtain a clear O/1 distribution topology,and the masses of the design domain have serious impacts on the optimization results,which verifies the correctness and effectiveness of the proposed method.