The wide application of power electronic equipment makes harmonic problem become increasingly serious. The deadbeat control combined with repetitive control are utilized to realize the high efficiency compensation for pk±1 harmonics. The deadbeat control is deduced by mathematical model in order to control different harmonics, and a repetitive control is proposed to eliminate periodic steady-state error and shorten frequency delay through adjusting the value of the internal model p. The results of simulation and experiments demonstrate the effectiveness of current control for APF, the total harmonic distortion values of source current by deadbeat control and compound control reduce to 7.8% and 2.8%. The compensation meet the requirements of the higher precision and better dynamic performance. This work is supported by National Natural Science Foundation of China (No. 51477070).