Kovač joined the VMSZ in 2000, became a regional trainer for the National Democratic Institute in 2005, and joined the presidency of the VMSZ's youth forum in 2005. She received the 224th position on the VMSZ's electoral list in the 2007 Serbian parliamentary election; the list won three seats, and she was not initially included in her party's parliamentary delegation. She was, however, able to take a seat in the assembly on July 18, 2007, as a replacement for Andrea Galgo-Ferenci, who had resigned. Kovač served as an opposition member during this time. For the 2008 parliamentary election, Kovač received the fourth position on the electoral list of the Hungarian Coalition, a multi-party alliance led by the VMSZ. The coalition won four seats, and she was chosen as part of its delegation. For a European Serbia formed a coalition government after the election, and the VMSZ provided parliamentary support to the administration. Serbia's electoral system was reformed in 2011, such that parliamentary mandates were awarded in numerical order to candidates on successful lists. Kovač was given the third position on the VMSZ's list for the 2012 election and was re-elected when the list won five mandates. She again received the third position in 2014 and was promoted to second in 2016; the party won six and four seats on these occasions, respectively, and Kovač was returned both times. Although the VMSZ was in opposition from 2012 to 2014, it has provided support to Serbia's coalition government led by the Serbian Progressive Party since 2014, and Kovač has once again served with the government's parliamentary majority during this time. Kovač was a deputy member of Serbia's delegation to the Parliamentary Assembly of the Council of Europe from October 2007 to October 2012 and again from January 2013 to May 2014, since which time she has been a full member. She sits with the European People's Partyparliamentary group. Kovač is a member of the PACE committee on equality and non-discrimination; a member of the committee on social affairs, health, and sustainable development; the vice-chair of the sub-committee on the rights of minorities; and a member of three other sub-committees. In May 2017, she affirmed that Serbia's strategic goal was membership in the European Union. She is also the deputy chair of the Serbian parliament's European integration committee; a member of the committee on human and minority rights and gender equality; a member of the committee on the rights of the child; a deputy member of the committee on constitutional and legislative issues; and a member of the parliamentary friendship groups with Germany and Slovakia.
