The article is devoted to the analysis of the author’s research: focus groups with parents of children gadget users with access to the Internet (n = 6), the questionnaire survey among adolescents (n = 303) and parents (n = 326) about media consumption, and information security legislation. The new trends and risks in the development of modern child-parent relationships: gadget and Internet addiction, conflicts, decreasing parental control and authority, alternative interaction forms, dangerous content and the consequences of its consumption were identified.