[2] Following graduation, Murganić got employed at the Karlovac branch of the Croatian Red Cross where she worked as a social worker and home care manager for 150 people, as well as a volunteer coordinator.
On 19 October 2016, Murganić was appointed Minister of Demographics, Family, Youth and Social Policy in the Cabinet of Andrej Plenković.
Ombudsman Ivana Milas Klarić, the professor at the Chair of Family Law of the University of Zagreb, criticized the draft and stated that Murganić told her during their meeting: "I and HDZ think that you are SDP."
In November 2017, SDP, MOST, HSS, GLAS, HSU, ŽZ, SNAGA, IDS and PH initiated motion of no confidence against Mugranić.
[15] Mara Tomašević, wife of the prefect of Požega-Slavonia County Alojz Tomašević (HDZ), who has accused him of domestic violence (repeat humiliation, threatening, grabbing by the neck and slapping), which resulted in calls for his resignation as prefect and ejection from HDZ, suddenly withdrew charges she filed with the Požega County Court against her husband.
On 11 January 2017, while commenting on whether she found that sudden withdrawal of charges strange, Murganić stated: "They should have resolved this earlier, within their family relationship.
On 20 February 2018, state secretary for demography Marin Strmota, a professor at the Faculty of Economics and Business of the University of Zagreb, resigned during a press conference in front of minister Murganić who right before presented the conclusions of the fourth meeting of the Council for the Demographic Revitalisation of Croatia.