Stoddart is a surname. Notable people with the surname include:
Alexander "Sandy" Stoddart (born 1959), Scottish sculptor
Andrew Stoddart (1863–1915), English cricketer and rugby union player
Charles Stoddart (1806–1842), British officer and diplomat, who was put to death by the Emir of Bukhara
David Stoddart, Baron Stoddart of Swindon (born 1926), British independent Labour politician
David Stoddart (geographer) OBE, coral atoll expert
James Fraser Stoddart (born 1942), Scottish chemist
Jennifer Stoddart, Privacy Commissioner of Canada
Margaret Stoddart (1865-1934), New Zealand artist
Morgan Stoddart (born 1984), Welsh rugby union footballer
Paul Stoddart (born 1955), Australian millionaire and owner of the Minardi Formula One racing team
Ransom "Rance" Stoddart in the film The Man Who Shot Liberty Vallance
Susie Stoddart (born 1982), racing driver from Scotland
William Stoddart (born 1925), British philosopher
William Lee Stoddart (1868–1940), American architect
Peter Stoddart (born 1934), English Cricketer