Mellish is a surname. Notable people with the surname include:
Arthur Preston Mellish (1905–1930). A Canadian mathematician. Proved a generalization of Barbier's theorem.
Bob Mellish, Baron Mellish (1913–1998), British Labour politician and Member of Parliament (MP)
Charles Mellish (1737–1797), British MP
David Batcheller Mellish (1831–1874), United States Representative from New York
Edith Mary Mellish (1861–1922), New Zealand Anglican deaconess and nun
Edward Mellish (1880–1962), English Victoria Cross recipient
George Mellish (1814–1877), British judge
Henry Mellish (1856–1927), English meteorologist
John Edward Mellish (1886–1970), American amateur astronomer
Morgan Mellish (1970–2007), Australian journalist
Page Mellish, founder of Feminists Fighting Pornography
Thomas Mellish (1773–1837), English cricketer
William Mellish (1764?–1838), English Governor of the Bank of England and Tory MP
William Mellish (cricketer) (1813–1864), English soldier, landowner and cricketer
Fictional characters:
Fielding Mellish, protagonist of Bananas (film)
Ralph Mellish, character from Monty Python