The doubly-fed induction wind power generator is composed of mechanical and electric subsystems which have different time-scales, so the subsystem control strategy can be designed individually. Because the pneumatic power is difficult to measure directly, the real-time estimation is done based on the extended state theory. Then the maximum power capture strategy is designed for the mechanical subsystem. According to the intrinsic electric characteristics of the doubly-fed induction generator, the power decoupling control for the electric subsystem is realized by the Lyapunov stability theory. The model of the doubly-fed induction wind power generator with two control loops is established. Simulation results prove the effectiveness of the control strategy which is simple and fit to the engineering application.