The output I-V, P-V characteristic curve of the PV cells are presented in the paper. A simulation model for Photovoltaic cells is developed based on the project practical mathematic model under Matlab/Simulink environment. based on fuzzy logic control method (FLC), the maximum power point tracking (MPPT) is realized using the boost converter, making the response time and power vibration to be improved. There has carried on the contrast analysis with the perturbation and observation method (P&O) tracking result. Besides, when the external conditions jump the FLC also can realize the MPPT. The matlab simulation result has confirmed the fuzzy control which this article proposed has a better effect compared to the perturbation and observation method (P&O) in the rapidity and the stability aspect.