Cuvier is both a French surname and a given name. Notable people with the name include:
Surname: Frédéric Cuvier (1773–1838), French zoologist and paleontologist Georges Cuvier (1769–1832), French paleontologist Sébastien Cuvier (born 1970), French footballer
Given name: Cuvier Grover (1828–1885), U.S. Union Army officer during the American Civil War