Gachet is a French surname. Notable people with the surname include:
Gabrielle Gachet (born 1980), Swiss ski mountaineer Grégory Gachet (born 1976), French ski mountaineer Jean Gachet (1894–1968), French featherweight boxer Paul Gachet (1828–1909), French physician Simon Gachet (born 1993), French racing driver Stéphane Gachet (born 1974), French ice hockey player Xavier Gachet (born 1989), French ski mountaineer
See also "Portrait of Dr. Gachet", painting by Vincent van Gogh Gallery Gachet, an artist-run art gallery named after Paul Gachet