A voltage space vector based regular-time hysteresis current control scheme for the photovoltaic grid connection system with Z source inverter is presented. The regular-time hysteresis current control has been designed to realize the zero control error and fixed switching frequency. It also achieved high power factors， which indicated the synchronization between the inverter output current and the grid voltage. Meanwhile， the zero space vector acts at the beginning of each control interval. By calculating the minimal duration possible for the zero space vector， the duty ratio can be obtained. The corresponding shoot-through duration is added to the minimal duration to boost the DC side voltage successfully. The system and control scheme proposed offer the advantages of fast response， high accuracy， high immunity of perturbations， low switching actions， and easy implementation. Both simulation and experiments have verified the correctness of the method.