On 19 January, in the third game at the European Championships, Ćuk scored his first two goals of the tournament in a big and difficult victory against the defending European champions Croatia. The final result was 15–12 for his national team. On 21 January in the fourth match, Ćuk was on the scorers sheet with one goal for his national team in a routine victory against Romania 14–5. On 27 January Ćuk scored a goal in a semifinal 12–8 victory over Italy. On 29 January, Ćuk won the European Championship with his national team beating in the final Montenegro by 9–8. This was his first medal with the national team in European Championships.