Snowfall is one of the dominant water resources in the mountainous regions and is closely related to the development of the local ecosystem and economy.Snowfall predication plays a critical role in understanding hydrological processes and forecasting natural disasters in the Tianshan Mountains,where meteorological stations are limited.Based on climatic,geographical and topographic variables at 27 meteorological stations during the cold season (October to April) from 1980 to 2015 in the Tianshan Mountains located in Xinjiang of Northwest China,we explored the potential influence of these variables on snowfall and predicted snowfall using two methods:multiple linear regression (M.LR) model (a conventional measuring method) and random forest (RF) model (a non-parametric and non-linear machine leing algorithm).We identified the primary influencing factors of snowfall by ranking the importance of eight selected predictor variables based on the relative contribution of each variable in the two models.Model simulations were compared using different performance indices and the results showed that the RF model performed better than the MLR model,with a much higher R2 value (R2=0.74;R2,coefficient of determination) and a lower bias error (RSR=0.51;RSR,the ratio of root mean square error to standard deviation of observed dataset).This indicates that the non-linear trend is more applicable for explaining the relationship between the selected predictor variables and snowfall.Relative humidity,temperature and longitude were identified as three of the most important variables influencing snowfall and snowfall prediction in both models,while elevation,aspect and latitude were of secondary importance,followed by slope and wind speed.These results will be beneficial to understand hydrological modeling and improve management and prediction of water resources in the Tianshan Mountains.