This paper describes the Grid Connected Solar Photovoltaic (PV) system Using Hysteresis Current Control Inverter to supplies electric power to the utility grid and is one of the major renewable energy sources. In this paper we are going to develop a complete computer simulation program of a gridconnected solar PV system in distribution power network using MATLAB/Simulink and SIM Power System tool. This paper aims to grid-connected solar PV system at steady state and also to study their transient responses to changing inputs. These control method provides robust current regulation, achieve unity power factor, low THD and optimize the PV energy extraction suitable for grid connected PV systems.