Global social networks contributed to the creation of new, inconspicuous, technically perfect shape of criminality which is hard to suppress because of its intangible characteristics. The most common forms of virtual communications? abuse are: cyberstalking and harassment, identity theft, online fraud, manipulation and misuse of personal information and personal photos, monitoring e-mail accounts and spamming, interception and recording of chat rooms. Cyberstalking is defined as persistent and targeted harassment of an individual by using electronic communication. The victim becomes insecure, frightened, intimidated and does not figure out the best reaction which will terminate the harassment. The aim of this paper is to emphasize the importance and necessity of studying cyberstalking and to point out its forms in order to find the best ways to prevent this negative social phenomenon. Basic topics that will be analyzed in this paper are the various definitions of cyberstalking, forms of cyberstalking, and the most important characteristics of victims and perpetators.