Fagge is a surname. Notable people with the surname include:
Charles Hilton Fagge (1838–1883), English physician Charles Herbert Fagge (1873–1939), English surgeon Frederick Fagge (1814–1884), English cricketer and priest Sir John Fagge, 1st Baronet (1627–1701), English politician Sir Robert Fagge, 2nd Baronet (c.1649–1715), English politician Sir Robert Fagge, 3rd Baronet (1673–1736), English politician