Today, the used method by most researchers to design new structures and retrofitting the existing structures is to reduce the movements and forces resulting from the earthquake in the structure. Accordingly, control of the structural behavior through the application of controlling forces on the structure by means of appropriate tools and separating the structure from the ground motion has been formed. The passive energy dissipation devices are grouped by seismic protection, which are quickly categorized into two groups of dependent velocity and non-dependent velocity devices. In structural control systems, damping has a crucial role in controlling seismic responses. On the other hand, nonlinear behavior of structures and the amount of hysteresis energy that is known as the structural hysteresis damping has a very important effect on the amount of structural damage and controls the collapse prevention state of the structure. By varying the damping values of the structure, the nonlinear behavior of the resistant elements of structure changes and the amount of hysteresis energy is affected. In this study, to investigate this topic, the structures with a number of different stories have been modelled in SeismoStruct software and dampers have been applied to the structure. By observing the results, the damping causes decreasing the seismic response of the structures, but the relationship between the increasing the damping and lowering the responses is not linear. But in general, the amount of damping value reduces displacement, drift, and base shear and increasing the performance level of the structures. The highest internal force reduction for the damping ratio 10, 20 and 30% has been 35, 39 and 43%, respectively. Also, the maximum reduction of the base shear for the damping ratio 10, 20 and 30 is 55, 59 and 64%, respectively.