The purpose of the Diploma Thesis is to investigate the attitudes and opinions of Greek and European drivers towards speed, as well as the identification of the personal characteristics of those exceeding speed limits. This investigation used the results of the Pan-European survey SARTRE 3, which have been analyzed by the use of the Discriminant and Cluster Analysis. The results of the analysis have shown that the faster someone drives, the more often he is involved in road accidents. Furthermore, it appears that punishment for breaking road safety rules affects seriously all European’s drivers behavior. Additionally, Greek drivers’ behavior is also affected by the probability of being checked.