Gigot is a French surname. Notable people with the surname include:
Edward Gigot (1847–1928), German-born Canadian merchant and politician
Francis Gigot (1859–1920), French Roman Catholic priest
François Gigot de la Peyronie (1678–1747), French surgeon
Maurice-Joseph-Louis Gigot d'Elbée (1752–1794), French Royalist military leader
Paul Gigot, American political commentator and editor
Tony Gigot (born 1990), French rugby league player
