A new filter, named LLCL, is used for filtering the output current of single-phase PV grid-connected inverter. It is realized by inserting a small inductor in the branch of the capacitor of LCL filter to generate a series resonant circuit at the switching frequency. Compared with LCL filter, LLCL filter can attenuate the series resonant frequency current ripple components much better and can further reduce total inductance value. Dual current loop control for LCL filter also applies to LLCL filter. The quasi PR controller with harmonic compensation in the out loop of grid current can effectively track the grid current instructions and compensate the particular harmonic. But the resonant controllers have a 180° angle jump at the resonant frequency, and with the increasing numbers of harmonic compensation, it can easily make the system instable. Therefore, a leading correction link is added after the quasi PR controller to compensate the phase at the resonant frequency. At the same time, it can improve the phase margin of the system and enhance the system stability. To enhance the grid voltage anti-interference capacity of the system, grid voltage feed forward strategy is utilized. The simulation results show that the system has good steady state performance and the anti-interference performance.