A one-dimensional river network model was constructed by discretization of Saint-Venant equations with explicit flux-ifference splitting scheme and dealing border with characteristic line method. Meanwhile, the modeling accuracy and stability are enhanced with the application of entropy correction and total variation diminishing(TVD) limiter to local discretion. In a classical numerical example, the model shows its ability in capturing complex flow conditions like trans-critical flow with shock waves. Being applied in the Baguazhou section of the Yangtze River, the model shows its performance in terms of water level and flux with higher accuracy, which is suitable for the real river network. To sum up, the model discretion introduces a new idea about explicit discretion into river network model.