This paper describes a survey on the prevalence and nature of cyberbullying of and by youngsters and the parental perceptions. Two questionnaires, one for youngsters and one for their parents, were sent to 1,211 final-year pupils of primary schools and first-year pupils of all levels of secondary schools and their parents. Pupils completed the questionnaires in their classroom, and parents completed them at home. The results show that about 16% of the youngsters had engaged in bullying via the Internet and text messages, while about 23% of the youngsters had been victims of cyberbullying. Cyberbullying seems to be a rather anonymous, individualistic activity, which primarily takes place at home. The most frequently used nature of harassment were name-calling and gossiping. Youngsters mostly react to cyberbullying by pretending to ignore it, by really ignoring it, or by bullying the bully. Most parents set rules for their children about the way to they should use the Internet but are not really conscious of the harassments. They underestimate their own children's bullying behavior and have insufficient notion of their children as victims of bullying.