Swift is an English surname. Notable people with the surname include:
- Adam Swift (born 1961), British political philosopher and sociologist
- Allan Swift (1935–2018), American politician
- Arthur Swift (1810–1855), American politician
- Austin Swift (born 1992), American actor
- Ben Swift (born 1987), British racing cyclist
- Bill Swift (born 1961), American baseball player
- Bill Swift (1930s pitcher) (1908–1969), American baseball player
- Charles Swift (born 1961), American attorney
- Clement Nye Swift (1846–1918), American painter
- Clive Swift (1936–2019), British actor
- Connor Swift (born 1995), British racing cyclist
- D'Andre Swift (born 1999), American football player
- David Swift (actor) (1931–2016), British actor
- David Swift (director) (1919–2001), American screenwriter, animator, director, and producer
- Deborah Swift (born 1955), English historical novelist
- Edward D. Swift (1870–1935), U.S. astronomer
- Ellen Swift (living), British archaeologist
- Ember Swift (living), Canadian singer-songwriter
- Emma Swift (born 1981), Australian singer-songwriter
- Frances L. Swift (1837-1916), American church and temperance leader
- Frank Swift (1913–1958), English footballer
- George R. Swift (1887–1972), U.S. politician
- Graham Swift (born 1949), British novelist
- Gustavus Franklin Swift (1839–1903), U.S. entrepreneur, founder of Swift & Company meatpacking plants
- Harry Swift (medicine) (1858–1937), medical practitioner, researcher and academic in Adelaide, South Australia
- Henry Adoniram Swift (1823–1896), U.S. politician
- Innis P. Swift (1882–1953) American World War II general
- Jane Swift (born 1965), American politician
- Jeremy Swift (born 1960), British actor
- Joe Swift (born 1965), English garden designer, journalist and television presenter
- John Swift (disambiguation), several people
- John Franklin Swift (1829–1891), American politician and author
- Jonathan Swift (1667–1745), Irish author, satirist, political pamphleteer and cleric
- Joseph Gardner Swift (1783–1865), American army officer
- Justin Swift (born 1975), American football player
- Kate Swift (1923–2011), American feminist writer and editor
- Katherine Swift (1956–2004), Irish-born Portuguese artist and ceramicist
- Kay Swift (1897–1993), American composer
- Lewis Swift (1820–1913), U.S. astronomer
- Mary Amelia Swift (1812–1875), American teacher and textbook writer
- Mary Wood Swift (1841–1927), American suffragist and clubwoman
- Matthew Swift (born 1986), American entrepreneur
- Morrison I. Swift (1856–1946), U.S. social theorist, organizer and activist
- Parton Swift (1876–1952), New York politician and judge
- Patrick Swift (1927–83), Irish painter
- Philetus Swift (1763–1828), New York politician
- R.B. Swift (living), American journalist
- Rebecca Swift (1964–2017), British poet and essayist
- Richard Swift (disambiguation), several people
- Robert Swift (disambiguation), several people
- Scott H. Swift (born 1957), retired United States Navy admiral
- Stromile Swift (born 1979), basketball player
- Susie Forrest Swift (Sister M. Imelda Teresa; 1862–1916), American editor, Salvation Army worker, Catholic nun
- Taylor Swift (born 1989), American singer-songwriter
- Todd Swift (born 1966), Canadian poet
- Tom Swift (disambiguation), several people
- Veronica Swift (born 1994), American jazz and bebop singer
- William Swift (1848–1919), governor of Guam and United States Navy rear admiral