Abstarct: Nonlinear energy sinks (NES) are one of the most used absorber in the engineering, and in recent years their dynamical behavior effect on the various systems are investigated by researchers, so their applications become broader. In this research, it is focused on increasing the performance of nonlinear energy sink of a single degree of freedom system by suggesting a new mechanism in the absorber. Firstly, a viscoelastic isolated system with a basic excitation will be considered as a single degree of freedom system. Then a nonlinear energy sink with the local and general potential effect and certain mass will be defined which is attached to a single degree of freedom system by a nonlinear spring and damper (as the general potential), and also attached to the ground by parallel linear and nonlinear spring (as the local potential). For analyzing the problem, it is needed to model considered system and derive governing equations of motion with regard to the local and general potential effect. Then for solving the obtained equations, the useful nonlinear procedures like the perturbation theory and the multiple scales scheme will be applied to achieve the dynamical regimes responses. The achieved results can be described in the manner that changing system parameters like viscoelastic damping can lead to increasing in response domain or instabilities in the system, and in the resonance region, the domain will be decreased drastically by increasing viscoelastic damping (