In the 1975–76 season, Bjeković was the Yugoslav First League top scorer with 24 goals, helping Partizan win its seventh championship title.

He played five seasons with Les Aiglons, scoring a total of 85 goals in 143 league appearances.

[3] He scored on his debut for the national team in a friendly match against Brazil in Belo Horizonte on 19 December 1968.

[4] After hanging up his boots, Bjeković started his managerial career as an assistant to Miloš Milutinović at Partizan in 1982.

After his managerial career, Bjeković served as sporting director of Partizan for almost two decades.