This research project presents about wind turbine simulation for connected single phase grid system using hysteresis current control technique to generate PWM signals for controlling a single-phase voltage source inverter. The simulation system presented here uses the program. MATLAB/Simulink in the simulation of the wind turbine connected to the shaft of a three-phase permanent magnet generator is produced by alternating current through the full bridge rectifier circuit. Then the power supply is applied to the single-phase inverter circuit which is connected to the single-phase autotransformer to power transfer to the single-phase grid system. The simulation results confirm the validity of the proposed system with satisfaction under various conditions.