Shunt　active　power　filter　with　LCL　output　filter　involves　the　tracking　of　transient　current　with　high　frequency　harmonic　components.　The　current　control　brings　some　complexity.　This　paper　presents　a　kind　of　current　control　algorithm,　which　combines　the　triangle　carrier　comparison　method　with　hysteresis　control　method.　At　the　same　time,　the　automatic　self-correction　of　the　grid-side　disturbance　while　controlling　current　is　discussed.　The　proposed　algorithm　is　characterized　by　fast　tracking　of　harmonic　current,　small　computation　capacity　and　easy　implementation　for　engineering　applications.　Simulation　and　experiment　verify　the　effectiveness　of　the　proposed　method.