This paper proposes the use of Z source inverter with grid connected switched reluctance wind power generation systems. Based on the operation of switched reluctance generator (SRG) and requirements of grid-connected, considering the unique single stage buck boost feature of Z source inverter, Z source inverter with space vector pulse with modulation (SVPWM) is adopted to satisfy the voltage level when the SRG's DC output voltage is low. To maintain Z source capacitor voltage stable and control the active and reactive power by the regulation of boost factor and d-q axis current, the grid connected control method is designed for the system. Simulation system of wind power generation on SRG and Z source inverter are constructed based on Matlab/Simulink platform. The simulation results reveal that Z source inverter is feasible and valuable in wind power generation on SRG system.