|Date of birth||12 October 1963|
|Place of birth||Belgrade, SFR Yugoslavia|
|Red Star Belgrade|
|* Senior club appearances and goals counted for the domestic league only and correct as of 7 March 2014.
A product of Red Star football academy, during his professional career he played for numerous clubs in Yugoslav First League and Yugoslav Second League. After the break-up of Yugoslavia, he moved to Turkey, where he played for Samsunspor, before returning to Serbia in 1994. Since retiring as a player in 2000, Kljajić worked as a manager with several Serbian clubs, including Mladenovac, Big Bull, Morava Ćuprija, Srem and Novi Pazar. Currently, he is the manager of Bežanija.