Fincke is a surname. Notable people with the surname include:
Caspar Fincke (1584–1655), Bohemian-Danish court smith Clarence Fincke (1874–1959), American football player and banker Gödik Fincke (c. 1546–1617), Finnish-born Swedish nobleman and military officer George Fincke (1953–2016), American Anglican bishop Michael Fincke (born 1967), American astronaut Thomas Fincke (1561–1656), Danish mathematician, physicist and professor William Fincke (1878–1927), American football player, pacifist minister and educator
See also Finke (disambiguation)