This paper presents a grid-connected five-level neutral-point-clamped (NPC)/H-Bridge quasi-impedance source inverter (qZSI) and its control scheme for use in PV applications. The proposed topology is combination of a three-phase qZS network and NPC/H-Bridge inverter that is suitable for high power applications. The proposed inverter transfers dc power into the ac power without dc/dc boost converter. To control the proposed topology, PI based control scheme is developed. A modified level shifted sinusoidal pulse width modulation (LS-SPWM) technique is employed to generate gate signals for inverter. The effective and simple control algorithm is also employed to regulate the inverter output current. The performance of the proposed system has been validated by simulation results. These results show excellent performance in terms of steady-state and dynamic response.