Abstract: The operation of a ring-type damper of linear (in different directions) and rotational oscillations of high-rise tower-base constructions is described in this study. The resolving equations of motion for the proposed model of damper are obtained. The equations of dynamic equilibrium of the foundation slab and individual supports, included in the finite element system construction damper are presented. The influence of the finite stiffness of the soil foundation on adjustment and operation of a nonlinear damper of the building is considered. The numerical experiment of the spatial dynamics control of a structure in the system foundation structure damper is presented.