During his Soviet times he played at Krylia Sovetov Moscow, HK CSKA Moscow, Spartak Moscow and HK SKA Saint Petersburg. In all, he scored 176 goals in 509 games in the Soviet league. He trained with his partners Alexander Bodunow and Yuri Lebedev, a highly successful forward line. He was appointed to the team of the Soviet national ice hockey team early on. On March 12, 1972, he was in a game against Germany for the first time for the Sbornaja on the ice. His international career was crowned with several gold medals at the World Ice Hockey Championships in 1973, 1974 and 1975. For the national team, he scored 35 goals in 99 internationals.
In 1973, he was inducted into the "Russian Hockey Hall of Fame". On 21 December 1977 he played his last international match.
His daughter Marina Anissina is a figure skater and Olympic champion in 2002 in ice dancing. His son Mikhail Anissin is also a hockey player.