According to the stories of our parents and grandparents every age of life has its pros and cons. The 21st century is the century of the new digital age. The age of technology, smartphones, video games, and the Internet. Everyone has their right on safety and protection, which alone begs the question of safety and protection online, on the Internet. This final thesis presents a theoretical overview of the safety of early and preschool children in the digital environment. The first chapter discusses technology, media progress, and its involvement in children's lives. The next chapter focuses on security and privacy. It is explained why parents must be aware of the Internet and its possibilities. Thus the dangers and the laws on maintaining safety are mentioned. The research "Small children in front of screens: Croatia in relation to Europe and the world" is shown in the third chapter. Its results show the actual saturation and availability of electronic devices in children, which is very relevant for this paper. The fourth chapter highlights the five best parenting applications for child protection when using electronic devices. The applications are explained in more detail, and their advantages are highlighted. Chapter five puts its focus on video games. Attention is drawn to the selection of video games for children, and two systems for classifying the content of PEGI and ESRB are presented, the knowledge of which can significantly help parents in the final selection. The sixth but not less imperative chapter discusses a significant subject - cyberbullying. The concept and importance of cyberbullying and its forms were explained and presented the Croatian campaign "Break the Chain" to prevent abuse via mobile phones and the Internet was explained. The last chapter talks about media literacy, the acquisition of which is significant from the earliest childhood because it enables the child to use the media more safely and responsibly.