Background
Babunski was born in Skopje, Macedonia, Socialist Federal Republic of Yugoslavia.
Babunski was born in Skopje, Macedonia, Socialist Federal Republic of Yugoslavia.
On the club level he started playing with hometown"s FK Vardar, then spent two seasons in Bulgaria with PFC CSKA Sofia to become of the first Macedonians to compete in the A Football Group. After two solid years in the Spanish second division with UE Lleida he played the same time in Japan, at Gamba Osaka. Babunski retired professionally in 2001 at the age of 33, after stints with AEK Athens Football Club, Civil Defense Logroñés, K. Sint-Truidense V.V. and Chemnitzer Football Club – he left Germany in December 2000, signing with native FK Rabotnički – the second and the last teams two also in the respective countries" second level
Babunski was capped two times for Yugoslavia in 1991.
Subsequently, during seven years, he played 23 matches and scored once for the newly formed Macedonia. Babunski began his coaching career as assistant in the Macedonian national side, under Slobodan Santrač.
When the latter resigned on 23 August 2005 he was appointed interim manager but, on 17 February of the following year, Srečko Katanec took over the job on a permanent basis. On 23 July 2009, Babunski was signed as head coach of First Macedonian Football League champions Rabotnički, also from Skopje, winning the domestic cup in his sole season.
Four years later he returned to the national team, now with the under-21s.