Tempest is the surname of:
Tempest family, a recusant family of northern England in 16th and 17th centuries
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
Edmund Tempest (1894–1921), British First World War flying ace
Gerard Francis Tempest (1918–2009), American painter, sculptor and architect
Greg Tempest (born 1993), English footballer
John Tempest (disambiguation), various British Members of Parliament
Kate 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 from 1558-1562
William Tempest (born 1987), British fashion designer
William Tempest (politician) (1653-1700), English Member of Parliament