The main aim of this thesis is to show the danger lurking on the Internet that most people are either unaware of, or to which they give too little importance. It is a fact that we live in the “Information Age”, surrounded by different technological devices enabling us to complete our daily tasks - from simple communication to financial transactions. Thus, we should not be surprised by the advent of computer crime as a consequence of the continuous development and advance of modern society, nor that a whole industry formed around it. Due to the significant connection between computer crime, computer technology, and the Internet in general, this paper defines terms such as the Internet, computer crime, information and communications technology, Generation Y, as well as the generation growing up parallel to the development of technology and the Internet, by consulting various secondary sources of information, such as Croatian and foreign professional literature. Empirical research regarding generation Y’s awareness of the dangers of the Internet was also conducted for the purposes of this paper. The research was conducted by the means of a questionnaire consisting of 30 questions on how much time the subjects, i.e. members of Generation Y, spend on the Internet, why they usually use the Internet, and whether they worry about their security when they use it. Because of the rapid and constant development of information and communications technology, it would be somewhat naive to believe that it would not induce the parallel development of new forms of computer crime. Therefore, each Internet user, and especially Generation Y as the “Internet Generation”, should increase their level of awareness on the dangers of the Internet and, consequently, learn more about the many dangers of not using the Internet properly, or being unfamiliar with information and communications technology.