In this paper the two-level intellectual classifier based on the SVM algorithm has been offered. This classifier works as the group of the SVM classifiers at the first level and as the final SVM classifier on the base of the modified PSO algorithm at the second level. Herewith, we use the original experimental dataset to develop the different SVM classifiers at the first level, and the new dataset, containing only supports vectors of the SVM classifiers of the first level, to develop the final SVM classifier on the base of the modified PSO algorithm at the second level. The results of experimental studies confirm the efficiency of the offered two-level intellectual classifier.