Abstract: A mathematical model is proposed to simulate the spatial and temporal variations of snow temperatudre. The model is based on the non-steady one-dimensional heat-conduction equation with internal heat source. It gives the change in time of the internal temperature of the snow as it responds to varing surface temperature and periodic solar radiation. Verificiation of the model is accomplished by comparing the calculated results with observed data. Although the model presenied seems too complex for application, and some defects need improving, it may be considered as a useful tool to investigate various physical processes in snow. One of the advantage offered by this model is, it not only permits a quantitative description of temperature regime in snow, but also relates it to external conditions. This allows a better understanding of relationshop between the thermal regine of the snow cover and external atmospheric conditions, from a theoretical perspective.