The 39 main rivers of Mexico and the 667 large dams to operate in the country of Mexico, moves a significant amount of sediment, which have not quantified accurately in our country and causing major problems of flooding, disasters and in general, hydraulic, and hydrological problems, which requiring resolved taking as data, among others, through sediment transport. This paper discusses the different current sediment transport models and select models developed by the National Center for Computational Hydroscience and Engineering (NCCHE) of the University of Mississippi, USA, to be applied to rivers of the country of Mexico. The governing equations, model closures, empirical functions and numerical methods of sediment transport models in NCCHE are briefly reviewed in this paper. Several verification and application examples are selected to demonstrate the capabilities of NCCHE’s models. The amount of sediment transport of the Papagayo River was determinate by this software and the results will be used for design of some hydraulic structures at the Papagayo River.