Savery is a surname. Notable people with the surname include:
Henry Savery (1791–1842), Australian novelist
Jan Savery (1589–1654), Flemish painter
Joe Savery (born 1985), baseball pitcher
Nigel Savery (21st century), geneticist
Roelant Savery (1576–1639), Flanders-born Dutch baroque painter
Thomas Savery (circa 1650–1715), English inventor
Uffe Savery (born 1966), Danish percussionist