In the current work, the dynamic behavior of the wind turbine with a horizontal shaft and controlling the vibrations based on the active and passive methods are investigated. This study is based on presenting methods to reduce the wind turbine damages by controlling the vibrations. In recent years, many studies have focused on the vibration and control of wind turbines, but in the current study, the aim is improving the control system regarding more detailed assumptions in system parameters and modeling the semi couple aeroelasticity vibrations in the blade. Therefore, the aerodynamic forces of wind are modeled by the blade element momentum and the modified Prandtl coefficients and Glauert are used in simulations to improve the effective axial inductive coefficient in aerodynamic forces. In the current study, the blade is modeled as a clamped beam in one end and free on the other side. The distribution of geometrical and mechanical parameters such as mass distribution, bending stiffness in the axial direction of the blade is defined as a function of position. Then using tuned mass dampers in blades and Nussle the vibrations are controlled by passive control method. Some assumptions are interactions between tower and blade and the interactions between blades (in and off planes). Also, to improve the control effects of tuned mass dampers and reducing the maximum vibrations of blades, the active LQR control using piezoelectric plates on blades is applied. Results show that this method had better performance compared to the passive method. To improve the response of tuned mass dampers, the nonlinearity in the movement of dampers is assumed in the model. In this simulation by considering the nonlinearity of the dynamic of the system, and consequently controlling the nonlinear vibrations, the response improves significantly. Finally, the obtained results of different control methods are compared and the best result is presented as the premium method. Keywords: Wind turbine, Vibrations of wind turbine, Piezoelectric plates, Tuned mass damper