One of the most important tasks in the oil exploration and production industry is the lithological discrimination. A major source of information to support discrimination and lithological characterization is the logging raced into the well. However, in most studies the logs used in the lithological discrimination are only those available in the wells. For extrapolating the lithology discrimination models beyond the wells, it is necessary to use features that are present both inside and outside wells. One of the features used to conduct this rock-log-seismic integration are the elastic attributes. The impedance is the elastic attribute that most stands out. The objective of this work was the utilization of genetic programming as a classifier model of elastic attributes for lithological discrimination. The proposal is justified by the characteristic of genetic programming for automatic selection and construction of features. Furthermore, genetic programming allows the interpretation of the classifier once it is possible to customize the representation formalism. This classification was used as part of the statistical rock physics workflow, a hybrid methodology that integrates rock physics concepts with classification techniques. The results achieved demonstrate that genetic programming reached comparable hit rate and in some cases superior to other traditional methods of classification. These results have been improved with the use of Gassmann fluid substitution technique from rock physics.