TMD(Tuned Mass Damper) is one of the vibration control device that is mainly used to reduce the vibration level of high-rised building, bridge or stadium structure. In this study, the possibility of seismic response control of passive tuned mass damper (TMD) for spatial structures has been investigated. An arch structure was used as an example structure because it has primary characteristics of spatial structures and the seismic behaviour of space structures may fundamentally differ from the conventional building structures. The passive TMD could effectively reduce the seismic responses of the arch structure. And it has been shown that it is reasonable to install TMD to the dominant points of each mode and it is more efficient to install TMD that can be moved both vertical and horizontal direction.