Tuned Mass Damper (TMD) and viscoelastic damper (VED) is a well-known vibration absorbing equipment in the civil engineering realm. Although the dampers are typically used separately, combined use of dampers worth investigation. For that purpose, a numerical model of multi-story building equipped with TMD and VED was developed using finite element software SAP2000. In this study, modal parameter based distribution of hybrid damper system (HDS) using Tuned Mass Damper (TMD) and viscoelastic damper (VED) together has been adopted to reduce the seismic response of the structure.