Yury Moiseyev started to play hockey with Trud Penza in 1958. In 1960 he briefly joined Metallurg Novokuznetsk, before joining CSKA Moskva in 1962, where he played until the end of his career. With CSKA Moskva Moiseyev won eight Soviet titles (1963-66, 1968, 1970-72) and four European Champions Cup titles (1969-72). Internationally Moiseyev won Olympic gold, World and European Championships in 1968. After his playing career Moiseyev had a long career as a hockey coach. He coached CSKA Moskva sports school from 1972-74, then coached SKA Kuybyshev from 1974-75, and CSKA Moskva from 1976-84. From 1985-89 Moiseyev was head coach of Dynamo Moskva and then spent one season in Canada, coaching the Edmonton Oilers from 1989-90. From 1994-95 Moiseyev was head coach of CSK VVS Samara and from 1995-99 and 2001-03 was head coach of Ak Bars Kazan, winning the Russian Championships with them in 1998.