Genna () is an Italian surname. Notable people with the surname include:
Angelo Genna (1898–1925), Italian mobster of the Genna crime family Mike Genna (1895–1925), Italian mobster of the Genna crime family Tony Genna (1890–1925), Italian mobster of the Genna crime family Vincenzo Genna (1888–1931), Italian mobster of the Genna crime family Francesca Genna (born 1967), Italian academic Irene Genna (1931–1986), Italian actress