Abstract: The controlled differential equations of hyperconcentration river which can transform into the equations for low concentration river by being simplified appropriately is developed, and can apply to the river with very substantial water discharge and sediment load such as the Yellow River. The parameter of the model is decided and a computing program that suits to the river with the different sediment load is given. Finally, the computed channel deformations of river reach near the site of Xiaolangdi Project on the Yellow River are compared with the results of the physical model investigation.