Friction damper dissipates energy through friction forces. During severe seismic excitations, the friction damper slips at a pre-determined load, providing the desired energy dissipation by means of friction. In the present study, Coulomb friction model of friction damper is used for response mitigation of an eight storey asymmetric building, subjected to two Indian earthquake ground motions. The eight storey building is modeled as a shear building with lateral and torsional degrees-of-freedom at each floor. The performance of the building is studied by solving the governing differential equations of motion using state space approach. The earthquake ground motions used in the study are Koyna (1967) and Bhuj (2001). While studying the uncontrolled response, it was observed that the storey drift exceeds the limit specified by IS 1893 (Part I) [1]. The efficiency of the friction dampers is investigated by installing them at different storeys. Exhaustive parametric studies are performed to identify the optimum parameters and optimum location of the dampers. The uncontrolled response of the building is then compared with the controlled response. It is observed that the friction dampers are quite effective in reducing the force and displacement-response of the asymmetric-plan eight storey building. Hence, friction dampers can be implemented for upgrading the seismic performance of existing structures.