The modeling of high-pressure viscosities of liquid mixtures is of fundamental importance in many chemical and engineering processes. In this work, we present a new model for correlating and predicting viscosities for binary liquid mixtures, which is based on the Eyring's absolute rate theory combined with a cubic PR equation of state, MHV1 mixing rule and van Laar Equation. The method has been used to calculate viscosities for liquid binary mixtures which included associative mixtures of n-alkanes, substituted alkanes, cyclic alkanes, n-alcohols, polyols, n-amines, alkanones, aromatics and ionic liquids. The binary interaction parameters of the van Laar equation have been determined by fitting literature viscosity data of 47 binary mixtures at low pressures, and the model gives an accurate correlation of viscosities for liquid binary mixtures with an overall average deviation of 0.877%. High-pressure viscosities of 32 binary mixtures have been predicted using this model as well, and the absolute average deviation between calculated and experimental data is 3.051%, the satisfactory result demonstrating that the proposed model can be successfully representative of high-pressure viscosities for different types of liquid mixtures.