Gibbon is a surname. Notable people with the surname include:
Edward Gibbon (1737–1794), English historian and MP, author of The History of the Decline and Fall of the Roman Empire
John Gibbon (1827–1896), United States Army officer
John Heysham Gibbon (1903–1973), US surgeon and inventor of the heart-lung machine
Joe Gibbon (born 1935), US baseball player
Lardner A. Gibbon (1820–1910), US Navy lieutenant, Amazon explorer, co-author of Exploration of the Valley of the Amazon
Lewis Grassic Gibbon (1901–1935), Scottish writer
Ray Gibbon (c. 1926-1999), former mayor of St. Albert, Canada
Roger Gibbon (born 1944), track cyclist from Trinidad and Tobago
William Monk Gibbon (1896–1987), Irish poet and prolific author