Adaptive hysteresis band current control(AHB CC) is used to control the three-phase grid currents by means of grid side converter in wind power generation system in this paper. AHB has reached the good purpose with PLL (Lock phase loop). First the mathematical models of each part are given. Then the control strategy of grid side converter-based wind power generation system is given in detail mainly including ABH CC and PI controllers of DC-link voltage, active power, reactive power. Finally the simulation model is set up which consists of power circuits, such as the grid side converter, LCL filter, transformer and grid, and control parts, etc. The simulation results have verified that the control strategy is feasible to fit for control of gird currents, active power, reactive power and DC-link voltage in wind power generation system.