The present research study explores the extent to which the withdrawal of the UK from the European Union may negatively affect the efforts to lead in particular young people to have a positive attitude towards this integration group, enhance a feeling of belonging to it or a certain sense of common European citizenship. The main aim of the paper was to identify those selected circumstances of Brexit and its campaigns that could evoke strong Eurosceptic sentiments and, on the contrary, look for ways to eliminate these negative tendencies. The authors discuss how a populist, emotionally focused and often misleading campaign has significantly contributed to the vote of Brexit in a referendum, which is a precedent that may under certain circumstances be repeated in other member countries. The paper also discusses the media dimension of the topic. Especially the question of spreading misinformation, hoaxes, conspiracy or propaganda in alternative media that can strengthen Euroscepticism in many EU countries, including the Slovak Republic.