Renzi is an Italian surname. Notable people with the surname include:
Andrea Renzi (actor) (born 1963), Italian actorAndrea Renzi (basketball) (born 1989), Italian professional basketball playerAnna Renzi (c.1620–after 1660), Italian opera singerCarli Renzi (born 1982), Australian judo competitor and wrestlerClement Renzi (1925–2009), American sculptorEva Renzi (1944–2005), German actressGrace Renzi (1922–2011), American painterLorenzo Renzi (born 1939), Italian linguist and philologistMaggie Renzi (born 1951), American film producer and actressMatteo Renzi (born 1975), 56th Prime Minister of ItalyMike Renzi, American composer, music director, pianist and jazz musicianNicola Renzi (born 1979), Sammarinese politicianPina Renzi (1901–1984), Italian film actressRenzo Renzi (born 1956), Sammarinese politicianRick Renzi (born 1958), American politician