A new two-parameter model presented in the previous work for correlating the viscosity of pure liquids is extended to correlate the viscosity of binary liquid mixtures. The correlation relates this non-equilibrium property to some equilibrium properties, the volume, the internal energy of vaporization and their excess properties. The viscosities of 47 binary liquid mixtures, including different kinds, which having no maximum or minimum viscosity, which having one maximum or one minimum viscosity, and which having both of one maximum and one minimum viscosities in the whole composition range, are correlated using the model and compared with data reported in the literature with the overall average absolute deviation of 1.05%. Further comparison with a good correlation, a free-volume type correlation, is also discussed. The results show that the new method is satisfactory.