It is difficult for the classical proportional-integral (PI) regulator employed in the outer voltage loop to satisfy the system performance requirement, when the system states or its parameters are changed in the three-phase voltage source converter using the hysteresis space vector control. The fuzzy based PI regulator is therefore introduced. The coefficients of P and I are adjusted online based on the engineering experience to deal with the system change. A hysteresis space vector control is adopted in the inner current loop. Its principle for selecting the switching states is provided. Finally, the simulation and experiment results show that, the proposed control method can guarantee the system stability effectively. Moreover, compared with the hysteresis space vector control with the classical PI regulator, the proposed control method can reduce the transient setting time more than 55% and ensure the better transient performance.