Fluctuation, intermittence and uncertain are the characteristics of wind energy which cause wind energy output power fluctuation and influence the grid stability and power quality, it is hard to be controlled exactly by traditional controllers. The feedback linearization control was applied to wind power generation system (WPGS), which was to reduce the cost of wind energy conversion system and improve its performance. The WPGS model was constructed with mathematical models of aerodynamics subsystem, drive train subsystem and permanent magnetic synchronous generator (PMSG) subsystem. The feedback linearization control rule was proposed, with feedback linearization control theory based on differential geometry, the coordinated transformation and nonlinear state feedback were obtained. The system was constructed with MATLAB/Simulink platform, the model and control strategy was adopted and the simulation result shows this method can realized optimal power control, which has maximum energy capture ability.