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, (born 1953) baker
• Orani João Tempesta, (1950) Archbishop of Rio de Janeiro
• Count Peter Tempesta, (1291 – 1315) Count of Eboli

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