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