Abstract: We propose a non-linear regression model based on normalized snow index(NDSI).The sample data obtained in Alaska,Siberia and Inner Mongolia were used for regression analysis and model parameters estimation.The accuracy of the non-linear regression model was verified and compared with the linear model using the experimental data extract in the Tianshan mountains and Qilianshan mountains.The results show that the proposed model gives a better fit to the sample datas and the ccuracy of the non-linear regression model is higher than the linear model.