Kostov (Костов) is the surname of:
Aleksandar Kostov (b. 1938), Bulgarian football player
Dimo Kostov (b. 1947), Bulgarian wrestler
Hari Kostov (b. 1959), Macedonian politician
Ivan Kostov Nikolov (1913–2004), Bulgarian geologist and mineralogist
Ivan Yordanov Kostov (b. 1949), Bulgarian politician
Traicho Kostov (1897–1949), Bulgarian politician
Stanislav Kostov (b. 1991), Bulgarian footballer