The development of communication and information means, especially the presence of the online environment, is undoubtedly an integral part of pupils' leisure time. During the pandemic, it also inevitably became a standard part of formal education in the form of so-called distance learning. On 11 March 2020, an extraordinary measure of the Ministry of Health entered into force, resulting in the widespread closing of schools. The extraordinary measure was later replaced by the Resolution of the Government of the Czech Republic No. 74/2020 Coll. of 12 March 2020. On 12 March 2020, a state emergency was declared. The main research goal is to name selected related cyberspace risks with the transition to distance learning and their potential intensity, which threatened or may continue to threaten students in the transition to this model of education. Research sub-objectives are to analyze students' awareness of their rights and obligations in the context of cyber security in distance learning and to compare the obtained data among primary and secondary school pupils. Research and achievement of set research goals are carried out through a quantitative and qualitative approach through piloting in the form of interviews with a selected sample of students, and the use of a questionnaire survey focused on the occurrence of selected risks in cyberspace and finding out essential awareness of students' rights and obligations in cyber security.