In this paper, a mathematical model of direct-driven permanent magnet synchronous generator(D-PMSG) is derived with taking into account the parametric uncertainty and the disturbance of wind. And also the chaotic property under the condition of certain system parameters and a certain operation is verified. Furthermore,the adaptive backstepping approach is designed to compensate the parametric uncertainty and wind disturbance. The simulation results show that the proposed controller for D-PMSG is effective and robust against the parametric uncertainty and the wind disturbance.