Yury Baulin began to play hockey in 1952 with Spartak Moskva, but in 1953 joined CSKA Moskva, playing there until 1962. He then played with SKA Leningrad (1962-64) and ended his playing career in 1964-65 with Torpedo Ust-Kamenogorsk. Baulin won Soviet titles six times (1955, 1956 and 1958-61). Internationally, besides his Olympic bronze, Baulin won silver (1959) and bronze (1960) at the World Championships and was European Champion in 1959 and 1960. After his playing career ended, Baulin worked as a hockey coach. At first he was the head coach of Torpedo Ust-Kamenogorsk, then worked as a coach with Spartak Moskva in 1971-72, winning a bronze medal at the 1972 Soviet Championships. In 1970-71 he was the head coach of the Soviet national junior team, which included such future stars as Vladislav Tretyak, Helmūts Balderis and Aleksandr Golikov, and Baulin won two World Junior Championship with them. After that he was a long-time coach of Yenbek Alma-Ata until his retirement in the late 1980s.