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Photovoltaic cell is an important part of photovoltaic power generation system. It is of great significance to study the accurate model of photovoltaic cell and to predict and track the MPP (maximum power point). Firstly, according to the internal structure and the I-V characteristics of photovoltaic cell, the mathematical model is established. The parameters of the model can be identified by searching the minimum deviations between outputs of the identified model and actual measurement information, and the accuracy and validity of the model can be verified. According to the law of the PV model, the temperature and illumination are considered as the input variables, and the corresponding voltage of MPP is used as the output variables, a neural network model for MPPT is constructed. The neural network is trained to predict and track the voltage of MPP. The results show that the neural network has good adaptability.