Abstract: To study the seismic control of tuned dampers for seismic isolated structures under near-fault pulse-like ground motions, the theoretical formulas for the optimal parameters of four typical tuned dampers, including tuned mass damper (TMD), non-traditional tuned mass damper (NTMD), tuned inerter damper (TID) and tuned viscous mass damper (TVMD), were compiled based on the H^∞ and H² optimization criteria. 100 near-fault pulse-like ground motions were selected as input, and the single-degree-of-freedom system was used to numerically simulate the seismic isolated structure. The effects of optimization criteria, damper type and mass ratio, period and damping ratio of seismic isolated structure, and difference of ground motions on the control effect are analyzed. The results show that the control effect of these four tuned dampers with the same mass ratio is TMD, NTMD, TID and TVMD in the order of low to high, and the design parameters should be optimized by the H² criteria. The tuned dampers with a mass ratio of 0.1 reduce the displacement of the seismic isolation layer by 10% to 25% for the seismic isolated structure with isolation period less than or equal to 3.5 s and damping ratio less than or equal to 0.1. The control effect of the tuned dampers grows logarithmically with the increasing of mass ratio, and shows significant dispersion due to the difference in ground motions. The control effect of TVMD is significantly better than that of other conventional dampers under the condition that the element parameters are the same. The TVMD reduces or slightly increases the absolute acceleration response of the superstructure. Finally, it is recommended that the TVMD is preferred to control the seismic response of the isolated structure under near-fault pulse-like ground motions.