Outputting compensated current by main circuit which is equal to harmonic current with reverse direction is the basic principle of shunt active power (SAPF). The performances of SAPF contain dynamic response and static precision. Single PI control applying to SAPF has the characteristics of a low static precision and fast dynamic response, and the repetitive control has the characteristics of a high static precision and slow dynamic response. To colligate the two controllers’ advantages, series-shunt compound control method which makes repetitive control and PI control in series and in shunt is put forward. The performances of harmonic compensation with PI control, series compound control and shunt compound control are all emulated and validated. Emulated results indicate that the series-shunt compound control has better performances in static precision and dynamic response, and experimental results verify the viability and effectiveness of the proposed control method.