Poncet is a French surname. Notable people with the surname include:
André Poncet (1755–1838), French general during the French Revolutionary Wars André François-Poncet (1887–1978), French diplomat Antonin Poncet (1849–1913), French surgeon Charles Poncet de Brétigny (–1644), governor of the colony of Cayenne in what is now French Guiana Dan Poncet (born 1953), French painter Jean François-Poncet (1928–2012), French politician and son of André François-Poncet Joseph Poncet (1610–1675), French Jesuit missionary to Canada Marcel Poncet (1894–1953), Swiss stained-glass artist and painter Michel Poncet de La Rivière (1671–1730), French bishop of Angers and cousin of Joseph Michelle Poncet (1720–1784), French actress Sally Poncet (born 1954), Australian-born Antarctic scientist