As a typical thin-walled column structure, wind turbines are susceptible to strong wind, resulting in fluid- structure coupled vibration. For multi-rigid-flexible body systems represented by wind turbines, predicting vibration characteristics accurately and quickly is of great significance. This paper establishes the dynamic model of the wind turbine blade-tower coupled system based on the Multibody System Transfer Matrix Method (MSTMM). The accuracy of the model is verified through comparison with references. On this basis, the Nonlinear Energy Sink (NES) is added to the model to establish the dynamic model of the tower of the wind turbine with NES. By combining the wind load model to simulate the wake motion of the structure, the suppression of vortex-induced vibration of the structure with NES is conducted. The results show that for vortex- induced vibration of three-dimension cylinder structures at high Reynolds numbers, NES has better vibration suppression effects compared to TMD. Within a certain range, the higher the mass ratio, damping ratio, and stiffness ratio of NES, the more significant the vibration suppression effect. When the NES mass ratio is 3%, the damping ratio is 5%, the suppression effect of wind turbine is best. The higher the tower, the more obvious the effect, up to 20%. The stiffness ratio has little influence. The process of establishing the dynamic model of wind turbines proposed based on MSTMM is simple, only requiring the assembly of the transfer matrices of each element, while also having the advantages of high computational accuracy and speed. It can provide reference for the dynamic modeling of multi-rigid-flexible body systems and rotating machinery systems.