Fitoussi is a Maghrebi Jewish surname. Notable people with the surname include:
Alice Fitoussi (1916–1978), Algerian singer and musician Bruno Fitoussi (born 1958), French poker player Elli Robert Fitoussi (born 1947), French singer and musician Grégory Fitoussi (born 1976), French actor Jean-Paul Fitoussi (1942–2022), French economist Marc Fitoussi (born 1974), French film director and screenwriter Michèle Fitoussi (born 1954), French writer