The article deals with the main approaches to the study of the problem of cybercommunicative personality dependence in domestic and foreign psychology. It is shown that the problem of psychological predisposition has not been studied in the foreign psychology, mainly the various aspects of the study of dependence, which are conducted in the main directions as an individual variable - cognitive, motivational, emotional and behavioral characteristics of the dependent personality and as a set of behavioral features. The problem of dependent personality is represented by several areas: dependence on the Internet, network gambling and other numerous varieties of dependence. Mostly dependence is seen as a consequence of interpersonal transactions within social groups that create the effect of "social dependence"; dependence as a set of behavioral features. In Ukrainian psychological science, in broad sense, addiction is seen as a specific way of thinking, perception and interpretation, of feeling and of the outside world. The main features of online dependencies are: obsessional passion for work at a computer (games, programming or other activities); pathological commitment to online gambling, online auctions or virtual purchases; Dependence on the social use of the Internet (chatting in chat, group games and teleconferencing), etc.