Photo-voltaic (PV) tied Z-source Neutral-point clamped NPC-MLI (Z-NPC-MLI) is used in solar grid connected applications due to its improved performance related to conservative inverters due to its single stage power conversion. Though the Z source inverters adaptation is accepted in grid connected technology, the need for appropriate controller to meet out the grid/standalone requirements is becoming necessary. The space vector pulse width modulation (SVPWM) strategy is a prominent modulation technique for Z-source NPC-MLIs due to their appropriate voltage vector selection opportunity. The current controller (CC) based SVPWM is not attempted, which is the most essential consideration for the grid connected inverter to provide a low harmonic distortion, high quality current. With all this aim, the paper presents a PV tied Z-NPC-MLI grid connected system with a unique hysteresis current control SVPWM (HSVM) strategy with neutral point (NP) balancing control. The simulation results are confirmed the feasibility and reliability of the proposed CC for the PV tie grid connected Z- Source MLI.