The mixed state of two-band II-superconductor is analyzed by the multi-symplectic method. As to the Ginzburg-Landau equation depending on time that describes the mixed state of two-band II-superconductor, the multi-symplectic formulations with several conservation laws: a multi-symplectic conservation law, an energy conservation law, as well as a momentum conservation law, are presented firstly; then an eighteen points scheme is constructed to simulate the multi-symplectic partial differential equations (PDEs) that are derived from the Ginzburg-Landau equation; finally, based on the simulation results, the volt-ampere characteristic curves are obtained, as well as the relationships between the temperature and resistivity of a suppositional two-band II-superconductor model under different magnetic intensities. From the results of the numerical experiments, it is concluded that the notable property of the mixed state of the two-band II-superconductor is that: The transformation temperature decreases and the resistivity ρ increases rapidly with the increase of the magnetic intensity B. In addition, the simulation results show that the multi-symplectic method has two remarkable advantages: high accuracy and excellent long-time numerical behavior. two-band Ginzburg-Landau equation, mixed state, multi-symplectic, conservation lawThe speedy development of superconductivity during the last 30 years has led to the creation of new bulk superconductive materials, which has been successfully used in cryogenic electric motors, generators, pumps for liquid-gas transfer, magnetic bearings, flywheels, fault-current limiters, maglev transport, and other devices working on the principle of levitation.Superconductivity is an electromagnetism phenomenon of metal material, which means that the resistance of the idealized metal will vanish at the critical temperature T c . In addition, supercon-