Šćepanović is a Slavic surname of Montenegrin origin. Notable people with the surname include:
Aleksandar Šćepanović (born 1982), Croatian basketballer Blažo Šćepanović (1934–1966), Montenegrin writer Branimir Šćepanović (1937–2020), Serbian writer Marko Šćepanović (born 1982), Montenegrin footballer Miloš Šćepanović (born 1982), Montenegrin water polo player Nebojša Šćepanović (born 1967), Montenegrin footballer Vlado Šćepanović (born 1975), Montenegrin basketball player Vučina Šćepanović (born 1982), Serbian footballer