Abstract: By analyzing the river classification of lower Yellow River, doing some calculation and statistics of alluvial standardized equilibrium degree of sediment transport and using set mathematics method, this paper researches the relationship between meandering river and wandering river. The research shows that meandering river is a proper subset of wandering and wandering river contains meandering river in alluvial standardized equilibrium degree of sediment transport. The overlap section of meandering and wandering river is suggested to be the part of meandering river. Wandering river has more big values of alluvial standardized equilibrium degree of sediment transport than meandering river.