The purpose of this paper is to examine the typology and profiles of abuse among equals both in person and on the Internet. Reference is made to the most relevant research, the most usual evaluation instruments, and proposals for the intervention and preventative action needed in each sector of the educational community. In addition, the challenges education professionals face in their work to fight against school harassment and bullying are noted, with particular attention to projects designed to counteract the problem and respond to these challenges. The special circumstances of the demands of cyber-bullying are analyzed and Moral Education is proposed as a way to achieve healthier educational spaces in the future that are free from harassment.