This paper demonstrates the use of the Naive Bayes and SVM algorithms to solve the common problem in the information science: document classification/categorization. To achieve that, we demonstrate the mathematics fundaments of both algorithms. Those been the probability theory, the Bayes Theorem, the Naïve Bayes classifier and the concepts about SVMs. After that, we present a way of applying these algorithms to solve the main problem of the subject of this document. Every theory discussed will be sustained with simple examples in order to make the concept easier to understand. The obtained results of the experiments were as expected, which demonstrates the efficacy of the presented algorithms in solving the problem of text classification. We could also conclude that the determination of the training test is of fundamental importance to the accuracy of the results.