Fleet is a surname. Notable people with the surname include:

• Charles Browne Fleet (1843-1916), American pharmacist
• David Fleet (born 1954), Canadian politician
• Frank Fleet (1848-1900), American baseball player
• Frederick Fleet (1887-1965), British sailor and Titanic survivor
• Greg Fleet (born 1960), Australian comedian
• Henry Fleet (b. 1602), English trader in Virginia and Maryland
• Henry Louis Fleet (1850-1923), British naval officer
• James Fleet (born 1954), British actor
• John Faithfull Fleet (1847–1917), historian, epigraphist and linguist
• John Fleet (Lord Mayor) (1648–1712), Member of Parliament and Sheriff for London
• John Fleet (MP), Member of Parliament for Weymouth and Melcombe Regis (UK Parliament constituency) in 1397
• Larry Fleet, American singer
• Pat Fleet (born 1943), American voice actress
• Preston Fleet (1934-1995), American businessman
• Reuben H. Fleet (1887-1975), American aviation pioneer
• Stephen Fleet (1936-2006), British administrator

• Stephan Szpak-Fleet (born 1979), Polish-born American actor
• Van Fleet, a list of people with the surname