His father Adam Boroević was a Grenzer (border guard) officer, his mother was Stana (née Kovarbašić von Zborište). His father took part in wars in Italy, Hungary and Austro-Hungarian campaign in Bosnia and Herzegovina in 1878. He was awarded silver medal for bravery. As an old man, Boroević's father had built a Serbian Orthodox church as his endowment in Mečenčani, which was consecrated in 1877. Boroević had a brother, Nikola, a colonel who also received Austrian noble status in 1917. In 1889, he married Leontina von Rosner, a daughter of a late Austrian colonel, Friedrich Ritter von Rosner. The couple had one son, Friedrich Borojević von Bojna, named after his mother's father. The son died in 1918.