Ćetković (Montenegrin Cyrillic: Ћетковић) is a Montenegrin surname. Notable people with the surname include:
Đorđije Ćetković (born 1983 in Podgorica, Montenegro), Montenegrin footballerPetar Ćetković (born in Cetinje, Montenegro), Partisan Montenegrin War Hero and Commander during World War IISergej Ćetković (born 1976 in Podgorica, Montenegro), Montenegrin singerStela Ćetković, actressVlado Ćetković (born in Podgorica Montenegro), Partisan Montenegrin Commander during World War IIVojin Ćetković (born 1971 in Krusevac, Serbia), Serbian actor of Montenegrin descentJelena Ćetković (born 1916 in Cetinje, Montenegro), Partisan Montenegrin World War II heroMarko Ćetković (born 1986 in Podgorica, Montenegro), Montenegrin footballer