In June 2015, representing Israel at the 2015 European Games in judo in the under 73 kg category in Baku, Muki won the first gold medal for Israel in the inaugural European Games, and in doing so won the 2015 European Judo Championship. In the quarterfinals he defeated then-reigning European champion Dex Elmont of the Netherlands. He defeated Nugzar Tatalashvili of Georgia in the final, throwing him for an ippon twenty-eight seconds prior to the end of their match, and after his victory he pointed with a smile at the Israeli flag on his judogi. He became the first Israeli men's European Judo Champion since Ariel Ze'evi, who won the championship four times. Muki received NIS 40,000 (approximately $10,500) from the Israel Olympic Committee for his achievement, the highest amount of any Israeli athlete, and a monthly stipend of NIS 8,500.