In the solar photovoltaic system, Grid-connected Inverter is an important part of grid-connected PV. The control objectives of inverter is the output of the inverter circuit stable, high-quality sine wave, and the grid voltage with frequency with phase. But also the greatest possible power output of solar panels for power. In view of this, this paper proposes the establishment of maximum power point tracking (MPPT) of a mathematical model,meanwhile MATLAB / SIMULINK under the system modeling and simulation, simulation results show that: theory and simulation results, the output power to track changes in light intensity. Can effectively ensure the maximum input power into the grid.