Her best result was a third place in 2002 in Heraklion in the World Youth Championships in Girls U10 age category.

[1] When she didn't make the Serbian team in 2006, she decided to switch her allegiance to Montenegro.

In the Montenegrin Chess Championship for women, she has won four medals − two gold (2009, 2010), a silver (2008) and a bronze (2007).

[6] Jovana Rapport played for Montenegro and Serbia in the Women's Chess Olympiads:[7] Jovana Rapport played for Montenegro and Serbia in the European Team Chess Championships:[9] In 2008, she was awarded the title of Woman International Master (WIM) by FIDE and received the title of Woman Grandmaster (WGM) the following year.

[10] She married Hungarian chess grandmaster Richárd Rapport in 2016 and they live in Belgrade, Serbia.