The mathematical model of three-phase LCL inverter has coupling term in dq coordinate system. At the same time, the traditional proportional integrate (PI) controller can only realize the no steady-state error control of the sinusoidal AC current in dq coordinate system. This requires highly accurate phase angles and complex coordinate transformations. This paper proposes a control strategy which uses the Quasi-proportional resonant (QPR) controller in the αβ coordinate system. Using the capacitor current as the inner loop realizes active damping and inhibits the resonance peak of LCL filter. The grid-connected current external loop control sine AC current non-static tracking. Design capacitance current feedback coefficient, the proportional coefficient of QPR controller and resonance gain coefficient with frequency domain analysis and zero-pole assignment. The parameter design method and the effectiveness of the control strategy are proved in the simulation and experiment.