The development of the internet and the emergence of various social networks increase the risk of cyberbullying and the parental concern about how to approach the problem. The purpose of this paper is to expand knowledge about cyberbullying and parental perception. This research aims to examine the differences in parental perception of cyberbullying with regard to the level of parental education, differences between mothers and fathers in setting restrictions and monitoring of children's activities on the internet. Furthermore, the correlation between parental setting of restrictions and monitoring of children's activities on the internet with parental perception of cyberbullying has also been subject od this research. 201 parents from the Republic of Croatia who have children under 18 years of age participated in the survey. The research was carried out by using the online questionnaire created through the Google form. The collected data were processed in the Jasp statistical programme using descriptive statistics and inferential statistics procedures (t-test, ANOVA and correlation analysis). Research results have shown that there are no statistically significant differences in parental perception of cyberbullying considering the level of parental education as well as differences between mothers and fathers in setting restrictions and monitoring of children's activities on the internet. No statistically significant difference was also found in parental perception of cyberbullying and setting restrictions and monitoring of children's activities on the internet. Multidisciplinarity and cooperation between families, communities and educational institutions are important for the prevention of cyberbullying.