Courant is a surname. Notable people with the surname include:
Charles Courant (1896–1982), Swiss sport wrestler Curt Courant (1899–1968), German cinematographer Ernest Courant (1920–2020), American physicist Frédéric Courant, French journalist Paul Courant, American economist Pierre Courant (1897–1965), French politician Richard Courant (1888–1972), German American mathematician Theodore James Courant, American mathematician