Abstract: Aiming at the problem of tuning the parameters of the tuned mass damper（TMD） in the offshore turbine floating platform, this paper takes the 5 MW Barge offshore wind turbine as the research object and uses the multi-objective grey wolf optimizer（MOGWO） to optimize the TMD parameter configuration. Firstly, based on the Euler-Lagrange equation, the dynamic models of offshore wind turbine containing TMD in the floating platform is established, and the Levenberg-Marquardt（LM） method is used to identify the unknown parameters of the model. Secondly, considering the control targets of the top of the tower and the base of the tower, the MOGWO algorithm is used to optimize the stiffness and damping parameters of TMD. Finally, simulation analysis is carried out under different working conditions. The results show that compared with the traditional single-objective optimization algorithm, the TMD optimized by MOGWO algorithm has a better vibration control effect on wind turbines.