In this article, the vibration control effect of the multiunit impact damper under stationary random excitation and seismic excitation is studied, based on both the elastic and nonlinear benchmark structures. The benchmark structure is a nonlinear steel frame structure, which can calculate the nonlinear response by considering the material nonlinearity at the ends of the beam and column. To analyze the influence of various system parameters on the performance of the multiunit impact damper, such as the number of units, mass ratio, damping ratio, and gap clearance, a great number of parameter studies are carried out. In addition, the control effects of the multiunit impact damper on elastic and nonlinear structures are compared to analyze the influence of structural nonlinearity on the performance of the multiunit impact damper. The results show that a lightweight multiunit impact damper with reasonable parameters can significantly reduce the root mean square displacement response of the benchmark structure. Furthermore, the structural nonlinearity will lead to a decrease in the vibration control performance of the multiunit impact damper. The reasons for this phenomenon are that the effective momentum exchange and energy dissipation of the multiunit impact damper will decrease when the benchmark structure responds in a nonlinear state.