The group method of data handling (GMDH) method was used to estimate (vapour + liquid) equilibrium (VIE) for the binary systems of (tert-butanol + 2-ethyl-I -hexanol) and (n-butanol + 2-ethyl-1-hexanol). Using this method, a new model was proposed, which is suitable for predicting the VLE data. In this publication, the proposed model was 'trained' before requested predictions. The data set was divided into two parts: 70% were used as data for 'training' (either 10 or 12), and 30% were used as a test set, which were randomly extracted from the database (either 14 or 16). After the training on the input-output process, the predicted values were compared with those of experimental values in order to evaluate the performance of the GMDH neural network method. The model values showed a very good regression with the experimental results. (C) 2010 Elsevier Ltd. All rights reserved.