This paper summarizes the development and achievements of simulating technology for river sedimentation, including physical models and mathematical models. For the physical models, a complete set of similarity theories, design methods, test techniques have been set up, and a lot of important research results have been achieved in design of distorted models, selection of model sediment, simulation of hyperconcentrated flow, and model measuring, which are used for solving a lot of engineering sediment problems. For the mathematical models, 1 -D, 2 -D and 3 -D mathematical models have been established systematically, and meaningful development has been achieved through theory researches and engineering practices, such as in calculation models, numerical methods, after-treatment of calculation results, selection of parameters, and dealing with hyperconcentrated flow. Otherwise, this paper also prospects the future development.