**Abstract**

Digital media have quickly changed ways in which parents and children communicate, enjoy themselves, acquire information, and solve problems daily (both in ordinary and exceptional circumstances such as COVID-19 home confinement). Very young children are regular users of smartphones and tablet, so their early digital engagement poses new challenges to parent-child relationships and parental role. First, the chapter introduces the "digital parenting" construct, moving through the literature from "traditional" parenting styles to more recent studies on "parental mediation," that is, the different behaviors parents adopt to regulate children's engagement with the Internet and digital media. Second, the chapter reviews empirical researches on different parental mediation practices (active or restrictive behaviors) and how they are adjusted according to the child's characteristics (age, digital competences, etc.) or parent's media competence and beliefs. Finally, from a bidirectional perspective of parent-child relationships, the chapter discusses the role of youths' social involvement, communication, self-disclosure, and digital skills on parent's beliefs and practices. Implications for parent education and prevention of risks for early and excessive exposure to digital technologies are discussed.

**Keywords:** digital technologies, parental practices, parental beliefs, children's digital literacy
