Abstract: The ice jams in river in northern often cause severe winter flood.Centring around the experimental study,the proto-type observation and the numerical simulation of river ice problems,the scholars both at home and abroad engaged in a lot of research in order to prevent the disaster of ice-induced flooding.the study results from the scholars in one-dimensional,two-dimensional numerical simulation of river ice are reviewed and the description focuses on Shen's one-dimensional river ice numerical model and the two-dimensional model which simulate ice jam breakup,as well as their application in practical problems; Base on the review of the characters of all models,we try to give the future development direction of the numerical model for river ice.