© 2016, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.This paper investigates the use of a passive control device, tuned mass damper (TMD) for the control of vibrations of a simplified wind turbine. In the wind turbine model, tower and blades are modeled with continuous beam structure. Concentrated mass is considered as the nacelle. TMD system is placed at top of tower and attached to the nacelle. The coupled governing equation of motions and associated boundary conditions for the tower and the blades are obtained based on Euler-Bernoulli beam theory. In the present study, centrifugal force of blades due to rotation, lateral acceleration of the nacelle, self-weight and moment of inertia of nacelle and tower are considered in the analysis and aerodynamics loads are excluded in the analysis. Applying the Galerkin’s method with two admissible functions, the solution of the governing equations is obtained. In first part of the article, the coupled natural frequencies and mode shapes of wind turbine without TMD are calculated for various angular velocities of the blade. In the second part, it is shown how the TMD uniformly damps out the vibration of the selected coupled tower and blades mode.