Hungarian shooters have achieved quota places for the following events by virtue of their best finishes at the 2014 and 2015 ISSF World Championships, the 2015 ISSF World Cup series, and European Championships or Games, as long as they obtained a minimum qualifying score (MQS) by March 31, 2016. The shooting squad was announced on March 30, 2016 with the rifle specialist Péter Sidi remarkably going to his fifth Olympics, and pistol shooter Zsófia Csonka to her fourth.