Mikhail Bychkov began to play football with Traktor Stalingrad (now Rotor Volgograd) but won the 1949 Soviet Cup with Torpedo Moskva, and was runner-up with them in 1947. Bychkov took up hockey while switching to Krylya Sovetov Moskva in 1950 and in the first few seasons he played football in the summer and hockey in the winter. But in 1954, after he was selected to the first Soviet national hockey team, he decided to concentrate only on hockey and he played hockey for Krylya Sovetov until the end of his career in 1962 and won one Soviet title, in 1957, with them. Internationally, besides his Olympic bronze medal, Bychkov was World Champion in 1954, second in 1955 and third in 1960. He also won three European Championships titles in 1954-55 and 1960 and won gold at the 1953 World University Winter Games.