Gigot is a French surname. Notable people with the surname include:
Edward Gigot (1847–1928), German-born Canadian merchant and politicianFrancis Gigot (1859–1920), French Roman Catholic priestFrançois Gigot de la Peyronie (1678–1747), French surgeonMaurice-Joseph-Louis Gigot d'Elbée (1752–1794), French Royalist military leaderPaul Gigot, American political commentator and editorTony Gigot (born 1990), French rugby league player