As a co-manager with Valeriy Lobanovskyi Bazylevych won with Dynamo Kyiv the 1974–75 Cup Winners' Cup and the 1975 European Super Cup (and a bronze medal with the Soviet Union Olympic football team at the 1976 Summer Olympics).
As a co-manager alongside Valeriy Lobanovskyi, Bazylevych led Dynamo Kyiv to victory in the 1974–75 Cup Winners' Cup and the 1975 European Super Cup. Additionally, he contributed to the Soviet Union Olympic football team's bronze medal at the 1976 Summer Olympics.