In this study, we developed a river network model based on the complex network theory. Taking the Haihe River system as an example, we constructed two river network models, Model Ⅰ and Model Ⅱ. Model Ⅰ included natural vertices and Model Ⅱ included both natural vertices and artificial vertices. Based on the properties of the vertices and edges in river networks, we propose the vertex weight index and edge weight index to assess the vertex importance and edge importance, respectively, and analyze and compare the vertex importance and edge importance of the Haihe River Network. Finally, we summarize the key parameters of the proposed river network model and discuss the future development of the model.