Based on the momentum theorem and water-balance principle, this paper has derived the basic equations of slope runoff. Soil erosion by raindrop splash and runoff are discussed, and hillslope soil erosion processes model was established. Finally, the model was solved by numerical solution considering the common solution-determining conditions, from which not only runoff and soil erosion yield but also their processes can be obtained. The model is validated by using observation data of Soil Conservation Ecological Science & Technology Demonstration Park of Jiangxi Province. Results show that the maximum relative error between the computation and observation values of the slop runoff processes is 10％ while the maximum relative error between the computation and observation values of hillslope soil erosion processes is 9.2％. This indicates that the model is conceptually realistic reasonable and offers a feasible approach for research on soil erosion process.Key words overland flow﹒raindrop splash﹒runoff erosion﹒process﹒numerical solution
