A new method is developed which calculated vapor-liquid equilibrium of mixtures directly from the vapor pressure equation of pure components

by using the two-fluid corresponding-state principle at atmospheric or reduced pressures. This method is as rigorous in theory as that based on the equation of state

and as simple in computation as the activity coefficient method. This method may be used satisfactorily in calculating vapor-liquid equilibrium when coordinated with the vdW and Wong mixing rules

but for only homogeneous systems. As an improvement

a simple energy-local-composition mixing rule is suggested. Tested in computing the vapor-liquid equilibria of 37 typical noupolar-nonpolar

polar-polar

and polar-nonpolar binary systems

the proposed method

combined with the suggested rule

has been shown to be more accurate than the one-parameter Wilson equation

but slightly inferior to the two-parameter Wilson equation. The parameter values correlated seem regular against hydrogen-bond change in mixing course of systems.