In recent years, due to densification of the city, the compound buildings have increased. Upper layer of compound building is often composed of hotel or housing. And lower layer is often composed of store or office. The hotel and housing are composed of a low floor height and short span. The store and office are composed of a high floor height and long apan. The strength and stiffness of upper layer is larger. A series of dynamic response analyses are conducted for typical compound building. This paper uses a ground motion two times larger than design ground motions and a long period ground motion and a pulse ground motion. As a result, deformation of lower layer is large. This study examines the influences of steel dampers partially installed into the lower part of compound building. The result show that the mainframes are kept to be elastic range by installing the dampers in lower part.