Greppi is an Italian surname. Notable people with the surname include:
Antonio Greppi (writer) (1894–1982), Italian writer, politician and dramaturge Antonio Greppi (1722–1799), Italian banker, merchant, politician and diplomat Cristoforo Greppi, Italian Mannerist painter Emanuele Greppi (1853–1931), Italian lawyer and politician Giovanni Greppi (1884–1960), architect Giovanni Greppi (1910–?), Italian footballer Milena Greppi (1929–2016), Italian hurdler