HF method, with the basis set 6-31G (d) was employed to calculate quantum some chemical descriptors of 37 substituted Indole. The best descriptors were selected to establish the quantitative structure activity relationship (QSAR) of the inhibitory activity against isoprenylcysteine carboxyl methyltransferase (Icmt), by principal components analysis (PCA), to a multiple regression analysis (MLR), to a nonlinear regression (RNLM) and to an artificial neural network (ANN). We accordingly propose a quantitative model and we interpret the activity of the compounds relying on the multivariate statistical analysis. This study shows that the MLR and have served to predict activity, but when compared with the results given by the ANN model. We concluded that the predictions achieved by this latter is more effective and much better than other models. The statistical results indicate that the model is statistically significant and shows very good stability towards data variation in the validation method. The contribution of each descriptor to the structure-activity relationship is evaluated.