The study covers results of theoretical analysis of the basic contradiction within intergenerational interactions in the network society, defined by the fact that modern children live in the system of «horizontal» network relations, in the format of network societies, and adults are guided by the developed «vertical» models of relations and social behaviour. Self-organization is defined as an unapproved process of formation of small informal societies (groups, associations, formations, societies, teams) which factor-impulse being their source.
