Tempesta is an Italian surname. Notable people with the surname include:
Antonio Tempesta (1555–1630), Italian painter and engraver, Cavalier Pietro Tempesta (Pieter Mulier II) (1637–1701), Dutch-Italian landscape painter John Tempesta (born 1964), American drummer Mike Tempesta, rock guitarist Bonnie Lynn Tempesta (1953–2014), baker Orani João Tempesta (born 1950), Archbishop of Rio de Janeiro Count Peter Tempesta (1291–1315), Count of Eboli