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