In this paper, the negative stiffness element is integrated into the inertial nonlinear energy sink to form the negative stiffness inertial nonlinear energy sink (NS-INES), and this device is applied to suppress the vibration of the whole-spacecraft. Based on the reduction percentage of the maximum amplitude, the vibration suppression performance of the NS-INES is shown. Meanwhile, the influence of negative stiffness elements on the vibration suppression performance of inertial nonlinear energy sink is discussed by comparison. Finally, the influence and optimization of the parameters are discussed. The results show that the new NS-INES acting on the Whole-spacecraft has good vibration suppression performance.