Calmette is a surname. Notable people with the surname include:
Antoine de Bosc de la Calmette (1752–1803), Danish governor and landscape architect
Albert Calmette ForMemRS (1863–1933), French physician, bacteriologist, immunologist, officer of the Pasteur Institute
Gaston Calmette (1858–1914), French journalist
Jean Calmette (1692–1740), French Jesuit missionary in South India, Indologist