Gibbs is a surname. Notable people with the surname include:
Alan Gibbs, entrepreneur and art collector from New Zealand
Alfred Gibbs, a brigadier general in the Union Army during the American Civil War ("Civil War")
Alfred W. Gibbs, Chief Mechanical Engineer of the Pennsylvania Railroad
Antony Gibbs a British businessman
Antony Gibbs a British film and television editor
Armstrong Gibbs (1889–1960), English composer
Brian Gibbs (1936–2014), English footballer and manager
Calvin Gibbs, US army soldier who allegedly murdered three Afghan civilians in early 2010
Cory Gibbs, Football player
David Gibbs, director of the Blue Devils Drum and Bugle Corps
Dick Gibbs (1892–1915), Australian rules footballer
Dick Gibbs (basketball) (born 1948), American retired basketball player
Drew Gibbs, American college football coach
Frederic A. Gibbs, neurologist
Frederick S. Gibbs (1845–1903), American New York politician
Geoff Gibbs (1940–2006), Australian actor and drama teacher
George Gibbs (disambiguation), several people
Georgia Gibbs, singer
H. Lawrence Gibbs, American Louisiana politician
Henry Charles Hamilton Gibbs, better known as Cosmo Hamilton (1870–1942), English playwright and novelist
Henry Gibbs (1630/1–1713), British oil painter
Herschelle Gibbs (born 1974), South African cricketer
Humphrey Vicary Gibbs, colonial administrator of Rhodesia
J. D. Gibbs (Jason Dean Gibbs, born 1969), American racecar driver
Jake Gibbs (born 1938), American baseball player and college sports coach
James Gibbs (disambiguation), several people
Janno Gibbs, Philippine actor
Joe Gibbs (born 1940), American football coach and motorsport team owner
Joe Gibbs (record producer) (1942–2008; born Joel Gibson), Jamaican record producer
John Gibbs (disambiguation), several people
Jonathan Clarkson Gibbs (1821–1874), Florida politician
Josiah Willard Gibbs (1839–1903), American mathematical physicist
Josiah Willard Gibbs, Sr. (1790–1861), American linguist
Julia de Wolf Gibbs (1866–?), American writer, craftsman
Kieran Gibbs, English football player
Lance Gibbs, West Indian cricketer
Leonard Gibbs, American musician
Leonard W. H. Gibbs (1875–1930), New York politician
Madarious Gibbs (born 1993), American basketball player
Marla Gibbs (born 1931), American actress
Mary Elizabeth Gibbs (1836–1920), New Zealander
May Gibbs, Australian children's book author/illustrator
Michael Gibbs (disambiguation), several people
Mifflin Wistar Gibbs, political figure
Nigel Gibbs, English former footballer
Nicholas Gibbs (1733-1817), early American pioneer.
Norman Gibbs (Canadian football) (born 1960), American football player
Oliver Wolcott Gibbs, chemist
Paul Gibbs (footballer) (born 1972), English former footballer
Paul Gibbs (rugby union) (born 1941), rugby union player who represented Australia
Paul Gibbs (darts player) (born 1971), English darts player
Paul Clayton Gibbs, founder and director of the Pais Movement
Patrick Gibbs, (1915–2008), Welsh World War II pilot, author and film critic
Sir Philip Gibbs, (1877-1962), English journalist and novelist
Reggie Gibbs (1882–1938), Welsh international rugby player
Robert Gibbs, American White House press secretary
Robert Henry Gibbs (1929-1988), American ichthyologist
Roland Gibbs, military officer
Ronaldo James Gibbs, known as Ronaldo Valdez, Philippine actor, father of Janno Gibbs
Scott Gibbs, Welsh rugby footballer
Terri Gibbs, country and gospel music performer
Terry Gibbs (born 1924), American jazz musician (vibraphone)
Thomas Van Renssalaer Gibbs (1855–1898), Florida politician
Timothy Gibbs, actor
William Gibbs (disambiguation), several people
Wolcott Gibbs, humourist
Fictional characters:
Leroy Jethro Gibbs, main character of NCIS
Joshamee Gibbs, character from the Pirates of the Caribbean films