There are few researches in the combinations of dampers with different performances in vertical direction. The authors proposed the “combination-system” which is constructed of hysteretic dampers arranged in the lower stories of the building and viscous dampers arranged in the upper stories. This paper presents earthquake response characteristics of “combination-system” based on time-history analysis results. In addition, this paper describes the effect of the arrangement pattern of dampers and an amount of each damper to vibration control effect of building. This system can absorb the seismic energy compared with the one type of damper system.