Based on the second method of Lyapunov stability theory, the stability of non-equilibrium state for multiphase system is analysed. The results show that the dV/dt is always less than zero ff the V-function, which is defined as the entropy generation of the system, is greater than zero for the non-equilibrium state in linear zone, and the system is absolutely stable. On the other hand, the stability of the system in non-linear zone is determined with the symbol of dV/dt.