Dragojlović started his basketball career with his hometown team Sloga.

After that, he came to Belgrade and spent most of his career in the Crvena zvezda of the Yugoslav Basketball League for which he played from 1957 to 1967.

He was the best club pointer that season while Vladimir Cvetković scored 25.5 points, and Ratomir Vićentić 18.9.

[2] As a player for the Yugoslavia national basketball team Dragojlović participated at the 1960 Summer Olympics[3] in Rome and at the EuroBasket 1961[4] in Belgrade where he won a silver medal.

[2] Dragojlović died in a traffic accident near Gornji Milanovac on September 2, 1971, when he was rushing to visit his sick father.