A new approach was developed to solve the nonlinear responses of the blades with shrouds.Transforming the calculation between frequency domain and time domain was necessary.The nonlinear friction forces were calculated between complicated friction interfaces of the shrouds by tracing the trajectory of the contact point.This numerical method was combined with the harmonic balance method and the dynamic compliance method to solve the nonlinear responses of the blades.The effects of blade high order vibration modes and the high harmonic components of the blade response were taken into account.This theoretical method can be applied to design and fault diagnosis of the blades with shrouds.