Tempest is the surname of:

• Tempest family, a recusant family of northern England in the 16th and 17th centuries
  • Vane-Tempest baronets, dynasty of barons in the United Kingdom
  • Vane-Tempest-Stuarts, Marquesses of Londonderry
• Annie Tempest (born 1959), British artist and cartoonist known for the comic strip The Yuppies
• Billy Tempest (1893–1945), English footballer
• Dale Tempest (born 1963), English former footballer in Hong Kong
• Edmund Tempest (1894–1921), British First World War flying ace
• Florence Tempest (1889 – after January 1932), American comedian and dancer
• Gerard Francis Tempest (1918–2009), American painter, sculptor and architect
• Greg Tempest (born 1993), English footballer
• Joey Tempest (born 1963), Swedish rock musician
• John Tempest (disambiguation), various British Members of Parliament
• Kae Tempest (born 1985), English poet and spoken word artist
• Margaret Tempest (1892–1982), English author and artist, best known for illustrating the Little Grey Rabbit books
• Marie Tempest (1864–1942), English singer and actress
• Pierce Tempest (1653–1717), English book and print seller
• Robert Tempest, High Sheriff of Durham 1558–1562
• William Tempest (born 1987), British fashion designer
• William Tempest (politician) (1653–1700), English Member of Parliament