In 2014, Bürki was first called up for Switzerland and was also in the squad for the 2014 World Cup in Brazil. On 18 November 2014, he made his debut in a friendly match against Poland. He was part of the squad for the 2016 European Championships, but never made it to any match. Ultimately, his team was eliminated in the round of 16 away after losing 5–4 on penalties against Poland.