Digital competences have become one of basic skills in XXI century. Due to the ability to digitally access data and manage information and use electronic services, the quality of life has improved, and there has been an improvement in many activities connected with communication, shopping, ticket booking and a range of other repetitive activities. However, there is an additional layer overlapping the technical skills, which layer is connected with understanding the threats deriving from common availability of ICT. The aim of this paper is a diagnosis of digital competences level of parents in the matter of safe use of electronic media. To do this, quantitative research have been prepared, which measure six crucial areas of internet threats: ability to evaluate reliability of information on Internet, safety in the matter of contact with other users, image protection on Internet, knowledge concerning copyrights, knowledge concerning cyber-bullying mechanisms, proper performance of financial operations. The weakest areas of digital literacy seem to be: copyright protection and issues concerning contact with other users. The research was realized with the use of a competence test. The analysis was carried out on 260 parents of students attending secondary schools in the second half of 2016.