The use of supplemental damping to dissipate seismic energy is one of the most economical and effective ways to mitigate the effects of earthquakes on structures. Both displacement-dependent and velocity-dependent devices dissipate earthquake-induced energy effectively. Combining displacement-dependent and velocity-dependent devices for seismic mitigation of structures minimizes the shortcomings of individual dampers, and is the most economical solution for seismic mitigation. However, there are few publications related to the optimum distributions of combined devices in a multiple-bay frame building. In this paper, the effectiveness of a building consisting of multiple bags equipped with combined displacement-dependent and velocity-dependent devices is investigated. A four-story building with six bays was selected as an example to examine the efficiency of the proposed combination methods. The parametric study shows that appropriate arrangements of different kinds of devices make the devices more efficient and economical.