Abstract: The grid-connected current control is one of important controls in distributed generation systems.Based on the traditional hysteresis control,a multi-stage over-sample digital hysteresis control was developed which can bring down the MOSFET frequency and the output current total harmonic distortion（THD）.Meanwhile,the invalidation of hysteresis bandwidth was overcome by virtual over-sample control method.A simulation model was built to proof the proposed control method,and comparative analysis was also studied among hysteresis controls.A prototype was set up,and the experimental results verified the correction of the proposed system correction.