This paper presents the Maximum Power Point Tracking (MPPT) Modelling and control of Photovoltaic Generator (PVG). The model contains a detailed representation of the main components of the system that are the solar array, boost converter, and the grid side inverter. The system adopted by a digital MPPT control "disturbance and observation". This system includes a photovoltaic generator (PVG), boost converter, MPPT "disturbance, and observation" command as well as a load. For optimum system operation, the maximum power operation of the PV array must be ensured regardless of the climatic conditions, especially the solar irradiation and the temperature of the PV module. Power control, as well as modeling and simulation, were perform.