The topic of this thesis is media pedagogy and media competence. The first part of the thesis covers various theoretical backgrounds in the complex field of media pedagogy and media competences. There is an overview of the existing media education circumstances in Croatia, along with the previous research in the field. The purpose of this study is to measure the levels of media competence of student teachers at the Faculty of Humanities and Social sciences in Rijeka. The research was conducted while using a quantitative methodology. The instrument was designed as a quantitative questionnaire that measured the self-assessment of students' media competence dimensions. The claims are divided into three groups according to the dimensions of media competence, namely: the use of media, media didactics, and the critical analysis of media content. The results of the research have shown that the students evaluate their levels of media handling and media didactics slightly higher in comparison to the level of critical analysis of the media content. Students have a positive attitude concerning the institutional implementation of media education. It is necessary to introduce subjects dealing with media competences in graduate studies' curricula which will provide students with media competences in order to educate the children who grow up surrounded with media technology. This research can serve as an assessment of the current situation to consider the needs and starting points for enhancing the students' media competencies.