The microvibration suppression of flywheels for integrated optical satellites was investigated by a nonlinear energy sink (NES) based on the hysteresis damping characteristics of rubber.A dynamic model considering flywheel disturbances was established by analyzing the flywheel disturbance mechanism.Then,a method for suppressing the microvibrations of flywheels based on an NES was proposed.Combined with the flywheel microvibration model,a suitable form and parameters of the NES were proposed,and a metal rubber vibration absorber based on the NES was designed.Finally,a ground test scheme was designed for the satellite flywheel to verify the microvibration suppression method.The experimental results show that the analysis of the flywheel microvibration model is accurate,the design of the NES is reasonable,and the vibration absorber based on the NES can effectively suppress the flywheel microvibrations.