Antunović started out with his hometown club Priština and played in the Second League of FR Yugoslavia.
He subsequently moved to Čukarički and managed to score once in the 1996 UEFA Intertoto Cup.
[1] Later on, Antunović returned to his parent club Priština for one season, before joining newly promoted First League of FR Yugoslavia side Sartid Smederevo in 1998.
[2] During the 2004–05 season, Antunović moved back to Bulgaria and signed with Lokomotiv Sofia.
In 2009, Antunović was a contestant on the third season of the Bulgarian reality show VIP Brother.