Abstract: In order to reduce the tube area proportion of the traditional frame-core tube(FCT)structure system and improve the structural economy,a high-rise structural system of the frame-distributed tubes-core tube(FDCT)is designed.The distributed tubes and rocking system are combined to form the frame-distributed rocking tubes-core tube(FDRCT)structural system,which can control the deformation mode of the structure.To reduce the adverse effects of higher modes on high-rise structures,the frame-distributed bi-rocking tubes-core tube(FDBRCT)structural system with tuned damping performance is further proposed.The dynamic models and equations of the structure are established,and the stationary random vibration analysis is carried out,which preliminarily proves that the FDBRCT structure can reduce the dynamic response of the structure more effectively.By com-paring and analyzing the structural time-history analysis results of the FCT,FDCT,FDRCT and FDBRCT,the seismic capacity of the FDCT structure decreases is due to the stiffness weakening.The FDRCT structure improves the uniform degree of structur-al deformation,and the upper floors acceleration decreases,but the roof displacement increases.Compared with the FDRCT struc-ture,the maximum of inter-story drift ratio of the FDBRCT structure increases significantly and the structural deformation is more uniform.Besides,the roof displacement response and internal force demand decrease appropriately.The distributed bi-rocking tubes with tuned damping brings on better seismic capacity and damping performance of the FDBRCT structure,which can im-prove the economy at the same time.