Boriša Falatar was born in Sarajevo on 6 June 1975, and was raised in a mixed Christian and Muslim household. Having lost both of his parents at an early age, he started his career as a humanitarian worker during the Bosnian war. During the Siege of Sarajevo, as a 17 year old, he operated a radio system which permitted thousands of citizens of Sarajevo to connect to the outside world. He later joined the United Nations Protection Force, working with the Argentinean battalion until the end of the war in 1995.
After finishing his studies in 2001, Falatar joined the International Committee of the Red Cross. He led humanitarian protection activities in the Huambo province in Angola, providing humanitarian aid and reuniting kidnapped children with their families. Following the killing of UNITA leader Jonas Savimbi, Falatar negotiated with the Angolan government the reintegration of rebel UNITA soldiers. He returned to United Nations as international civil servant in charge of UNESCO's relations with member states. From 2008 to 2011, Falatar worked at UN Headquarters in New York, representing UNESCO in the UN General Assembly, ECOSOC and the Security Council. He then was UNESCO's Coordinator for Crisis Response, overseeing humanitarian and development operations in South Sudan, Libya and Syria. Falatar advised five Presidents of UNESCO's General Conference, and was member of cabinet of UNESCO Director-General Irina Bokova at the time when she was a candidate for the position of the UN Secretary-General.