Jovetić was a founding member of the Montenegro national team which played their first game against Hungary in March 2007, and was also a regular for the Montenegro U-21 team. Jovetić scored his first international goal against the same team, netting twice in a 3–3 friendly draw with Hungary on 20 August 2008 at the Puskás Ferenc Stadion in Budapest. He scored another brace on 29 February 2012 in his first match as captain when regular skipper Mirko Vučinić began on the bench, a 2–1 friendly home victory over Iceland.