Abstract: By analyzing the 2-D river-network numerical model,a generic 2-D river-network numerical model is brought forward.In this mode,the 2-D river-network is combined with the several cells which include "tree like" river cell,"ring-like" river cell,and "cross-like" river cell.By disposing these cells,1-D river-network coupling with 2-D can be easily simulated,and a soft system about generic 2-D river network's numerical model is built.Derivation and realization of the "tree-like" cell calculation model shows that the method is very valuable and can be applied to the large-scale simulat ion of 1-D and 2-D river network.