One of the issues of metropolitans is the occurrence of devastating earthquakes, which normally considered in crisis management. In fact, this is a great concern to the owners. However, in terms of the seismic performance of existing buildings, the designers have always been concerned this issue in their designs. The development of science and technology has shown that the earthquake cannot be controlled. Nevertheless, it can be confronted with optimal design and retrofitting the existing buildings. Using energy absorption equipment in the structure by increasing energy dissipation to improve structural behaviour and therefore to reduce structural and nonlinear damages caused by the dynamic loads such as earthquake. Viscoelastic damper has shown its better performance during dynamic loading. Nonetheless, due to the relative high cost of these dampers, they are used extensively in high-rise buildings. Damage to low-rise buildings during the past earthquakes and due to the abundance of their usage, has given rise to more focus on this issue. In this paper, the main concentration is on the existing low-rise steel buildings with viscoelastic dampers under nonlinear analysis to improve the seismic performance of the building. Moreover, the seismic responses in two levels of earthquake hazard including design base earthquake and maximum considered earthquake for the three earthquake records with different peak ground accelerations are discussed in the paper. Based on the nonlinearity of the dynamic analysis, the time history analysis under the far-field earthquake records is compared to the different parameters.