An adaptive Super-twisting control strategy is proposed to solve the problem that the wind turbine based on a doubly-fed induction generator (DFIG) is easy to be interfered with grid voltage fluctuation and external wind speed. The strategy realizes that control objectives vary with operation zones which depend on wind speed, that is, the active power is optimized in the partial load zone and the active power is limited in the full load zone. At the same time, the stator reactive power is adjusted according to the grid need to compensate the power factor in different regions. It has the advantages of easy implementation, strong robustness and adjustable gain of adaptive control, and is suitable for non-linear systems with external disturbances and time-varying parameters. The simulation results show that the controller designed by this strategy has good robustness in active power control and reactive power control in doubly-fed wind power generation system, the chattering is reduced and the sliding variables converge fast to the sliding manifolds in finite time.