The experimental data are presented demonstrating that when laser radiation propagates through a snowfall, its intensity fluctuations are damped starting from a certain distance and (or) with the increase of a snowfall intensity. The model of radiation fluctuations in precipitation proposed earlier by us was applied to interpret the experimental results. According to this model, the multiply scattered field can be divided into the field multiply diffracted on particles’ contours and the refracted field. Fluctuation damping factor in this case is defined as the intensity ratio of these fields. The damping factor was computed using the Monte Carlo method.