Abstract: Numerical model of border or furrow irrigation flow movement is a necessary tool and approach to design and evaluate surface irrigation systems. A one-dimensional complete hydrodynamic model for border irrigation was established by time-space hybrid numerical method. Then the differences of stability and convergence, the precision and efficiency of one-dimensional complete hydrodynamic model of border irrigation were compared and analyzed between the hybrid numerical method and the Roe finite volume method. At the same time, the computational performance and simulation effect were validated based on the simulation results of typical border irrigation tests. The results show that the hybrid numerical method puts up better numerical stability and convergence, and little water quality balance error and average relative error than the Roe finite volume method, and the former computational efficiency is about three times as much as the in the same measurement circumstances. The one-dimensional complete hydrodynamic model for border irrigation based on the hybrid numerical method can obviously increase computational stability and convergence, and effectively improve computational precision and efficiency, and provide a good numerical simulation tool for the design of border irrigation system and performance evaluation.