Farrelly is a surname. Notable people with the surname include:
Alexander Farrelly (1923–2002), the governor of the United States Virgin Islands serving from 1987 to 1995
Bernie Farrelly, former camogie player, winner of the Gradam Tailte award for skill tests in 1987 and 1988
Bobby Farrelly (born 1958), American film director, screenwriter and producer
Columb Farrelly (died 2008), Irish music producer and composer, worked with singer Sinéad O'Connor
Cynthia Farrelly Gesner (born 1962), American film actress and entertainment lawyer
Denis Farrelly (1912–1974), Fine Gael politician from County Meath in Ireland
Dick Farrelly (1916–1990), Irish songwriter, policeman and poet, composer of "The Isle of Innisfree"
Elizabeth Farrelly, Sydney-based author, architecture critic, essayist, columnist and speaker
Farrelly brothers, screenwriters and directors of eleven comedy films
Frank Farrelly (1931–2013), the author of a book called Provocative Therapy
Gareth Farrelly (born 1975), Irish footballer
Gary Farrelly (born 1983), Irish artist
Gearoid Farrelly, Irish comedian
John Patrick Farrelly (1856–1921), American prelate of the Roman Catholic Church
John V. Farrelly (born 1954), Irish Fine Gael politician and auctioneer
John Wilson Farrelly (1809–1860), Whig member of the U.S. House of Representatives from Pennsylvania
Midget Farrelly (born 1944), former Australian world surfing champion
Patrick Farrelly (1770–1826), member of the U.S. House of Representatives from Pennsylvania
Paul Farrelly (born 1962), British Labour Party politician, journalist, Member of Parliament
Peter Farrelly (born 1956), American film director, screenwriter, producer and novelist
Stephen Farrelly (born 1978), Irish professional wrestler and actor, known as Sheamus