Obrov was first attested in written sources in 1763–87 as Obrova and Obroa. The name is derived from the Slovene common noun obrov 'steep slope between two level areas', referring to a local landscape feature.
Obrov is the site of a mass grave associated with the Second World War. The Kaser Cave Mass Grave (Slovene: Grobišče Kaserova jama) is located along the road southwest of Obrov and northeast of Golac. The human remains in the cave are believed to be those of German soldiers and Slovene civilians.