Golubović started his career with Vojvodina from his hometown Novi Sad, where he was born to Montenegrin parents.

[1] In February 2010, he parted ways with Olimpija,[2] and signed a one-month contract with the Spanish club Caja Laboral.

[14] In August 2013, he signed a one-year contract with the Turkish club TED Ankara Kolejliler.

[17] On 6 September 2015, he signed a contract until the end of the EuroLeague regular season, with French club Strasbourg IG.

[25] As a member of the Serbia and Montenegro national basketball team, Golubović won the bronze medal at the 2005 Summer Universiade in Izmir and 2005 FIBA Europe Under-20 Championship in Russia.