Elkington is a surname. Notable people with the surname include:

Audrey Elkington (born 1957), English priest, Archdeacon of Bodmin George Elkington (1801–1865), English businessman and electroplating pioneer Henry Elkington (1890–1963), Australian rules footballer Jodi Elkington (born 1993), Australian sprinter John Elkington (business author) (born 1949), English businessman and author John Elkington (British Army officer) (1830–1889), British Army general, Lieutenant Governor of Guernsey John Simeon Colebrook Elkington (1871–1955), Australian public health advocate Joseph Elkington (1740–1806), English agriculturalist Lilian Elkington (1900–1969), English pianist and composer Steve Elkington (born 1962), Australian golfer Tim Elkington (1920–2019), English Royal Air Force officer