Modern high-rise buildings are susceptible to excessive accelerations at the upper floors in wind storms due to flexibility and low damping. In order to keep acceleration levels below the threshold of discomfort, an increase in damping may be required. One approach to augmenting the inherent damping of the structure is the introduction of one or more dynamic vibration absorbers or tuned mass dampers to the structure. Acting as damped secondary systems, TMD's can contribute significantly to the damping of the combined structure, thus reducing its response. Herein, we will investigate the effects of various TMD parameters, such as number, location, and mass distribution, upon the response of the primary structure.