This study focus on the design of the velocity-dependent dampers in high-rise steel structures against long-period and long-duration ground motions,which is not involved in the conventional building design guidelines. According to the static calculations, the effective deformation of the dampers can be calculated and the results of elastic dynamic analysis can be predicted. Based on these results, it is possible to determine how much damping should be placed in structures. It also proves the validity of this study through the case studies of the planar frame model.