Stochastic differential equations are widely used in atmospheric temperature prediction. This paper based on the established stochastic differential logistic model of global average temperature, it takes Euler's numerical model method to estimate the parameter values and analyze, evaluate the model fitting. The prediction efficiency of the model is determined thereby. Besides, the global average temperature for the next few years is predicted as stated in this paper. Finally, by analyzing the main research variable of global average temperature - environmental capacity, it shows that that if human beings do not get controlled, the global average temperature will continue to increase.