This paper reviews the progress of research on the relationship between Eurasian cold-season snows and Asian summer monsoons,especially the impact of snow on monsoon evolution and intensity.From Blanford (1884)'s research on snow at the Himalayan station to the appearance of large-scale snow datasets based on satellite measurement since the 1970s,together with the combination of global climate modeling and observational analysis,snow-monsoon relationship and the related physical processes have been investigated extensively.On one hand,snow influences atmospheric temperature,corresponding temperature gradient,and atmospheric circulation through the snow albedo effect.On the other hand,it affects the atmosphere especially the persistency of atmospheric anomalous signals through the snow-melt hydrological effect.There exists a positive interaction between snow and atmospheric circulations in those processes.This paper mainly focuses on various impacts of Eurasian snow at different places and in different seasons on Asian summer monsoons in different regions.It also studies the effects of snow on the characteristics of monsoon evolution at different stages.Revealing those complicated relationships is crucial for better understanding the overall variations of the monsoon system and is useful for improving the seasonal forecast of summer monsoons.