The traditional hysteresis current control switch frequency is not fixed, wide range of output spectrum, filter more difficult, based on active power filter with series resonance injection (SRIHAPF). In the traditional hysteresis control, and on the basis of introducing proportion integral control algorithm resonance, this paper puts forward a compound control algorithm as the filter of the current tracking control algorithm. To avoid the traditional hysteresis control switch frequency is not fixed and proportion integral achieve system stable resonance delay long weakness. The proposed algorithm has high accuracy and good tracking performance. The simulation and experimental results prove that the compound control algorithm can improve the current tracking performance of the filter and harmonic compensation effect.