Currently, schools face the challenge of dealing with the phenomena of cyberbullying, which is increasingly present among teenagers. This study analyses teachers' and students' perception of the problem, as well as the strategies that both groups use to avoid it. Its findings will allow advances in prevention and intervention in the schools. The study was conducted on 1,704 primary and secondary school students and 238 teachers who completed questionnaires about cyberbullying. We used a cross-sectional descriptive method. Findings show significant differences in the motives teachers attributed to cyberbullying. These depend on the educational stage they work in, whereas, among students, it depends on the role they have in the cyberbullying situation: victim or aggressor. We also find differences in the intervention strategies used by teachers, depending on the type of school, educational stage, and gender. Those used the most are communicating, mediating and seeking help. For students, the predominant strategies are avoidance, protection, and reporting. Schoolchildren, in general, show little confidence in their teachers' ability to solve the problem of cyberbullying. The study highlights the importance of training teachers and providing them with action models when faced with this issue, and it points out the necessity of coordinating the efforts of both teachers and students.