From the mid-1990s to the early 2000s Yury Melentyev represented Kyrgyzstan at international sports shooting events, specialising in the pistol. In 1996 Melentyev competed in both the air pistol and free pistol events at the Atlanta Olympics, placing 12th and 20th, respectively. One year later he won three medals, including two golds, at the West Asian Games in Tehran, winning in the free and air pistol events, in addition to taking bronze in the standard pistol. Melentyev returned to the Olympics in 2000, once again competing in the air and free pistol events at the Sydney Games. His older brother Aleksandr won gold in the free pistol at the 1980 Moskva Olympics.