A brief analysis of the possibilities of using the method of artificial neural networks (ANNs) for assessing and correlating data on vapor-liquid equilibrium is presented. The advantages of the Focke method are considered in the case of a limited amount of data, in this case, the parameters of vapor-liquid equilibrium. Six binary and four ternary systems are considered using a modified Argatov-Kocherbitov technique. The estimation of the correctness of the ANN method is presented for the values of excess Gibbs energy calculated from the data on the vapor-liquid equilibrium.