Chetcuti is a surname. Notable people with the surname include:
Andrew Chetcuti (born 1992), Maltese swimmer Frans Chetcuti (born 1943), Maltese sports shooter Janice Chetcuti, Maltese politician Jeffrey Chetcuti (born 1974), Maltese professional footballer Jimmy Chetcuti (born 1913), Maltese water polo player Kayleigh Chetcuti (born 2000), Maltese footballer Mark Chetcuti (born 1958), Chief Justice of Malta William Chetcuti (born 1985), Maltese sport shooter