Govedarica played three seasons for Proleter Zrenjanin between 1989 and 1992, before switching to Vojvodina.
He then spent three and half years in Novi Sad, making 102 appearances and scoring 23 goals in the top flight.
In the 1996 winter transfer window, Govedarica moved abroad and joined the Dutch club Volendam.
At international level, Govedarica was capped 29 times and scored two goals for FR Yugoslavia from 1994 to 2000.
[5] After hanging up his boots, Govedarica started his managerial career as an assistant to Miroslav Đukić with the Serbia national under-21 football team, finishing as runners-up in the 2007 UEFA European Under-21 Championship.