The chain reaction of mountain disasters caused by seepage and slope runoff under rainfall conditions has gradually become the focus of research at home and abroad,but due to the limitations of understanding,seepage in slopes,slope runoff,slope erosion,and debris flow initiation and Landslides and other processes are often artificially divided into several parts and studied separately,leading to a lack of deep understanding of the organic links between the various factors of mountain disasters caused by rainfall.In this paper,Richards equations and Saint-Venant equations are used to describe the slope infiltration and runoff problems respectively.The finite volume method (FVM)is used to solve the above problems by programming the Matlab program,and Richards equation and St.The process is numerically coupled to obtain a coupled model of slope infiltration and runoff under rainfall conditions.Through examples,it is shown that the basic laws are in line with reality. Describes the reliability of the established coupling model.