Abstract: Food output was affected by many factors and the volatility was higher. The study selected 10 factors influencing the food output,made a standard revision of the relevant data. These data was analysis with the theory of grey relation. It fixed five notable factors influencing the food output. The study built a predicting model of the food output with these five notable factors as the independent variables of the model and to examine the accuracy of the model. According to the results of model analysis,we could improve the quality of the chemical fertilizers,increase the effective irrigation area and accelerate mechanization of the agriculture to stabilize and increase the food output.