Addington is a surname. Notable people with the surname include:
Anthony Addington (1713–1790), English physician and writer
Crandell Addington (born 1938), American poker player, one of the founders of the World Series of Poker
David Addington (born 1957), American lawyer, formerly chief of staff to Dick Cheney
Henry Addington, 1st Viscount Sidmouth (1757–1844), Prime Minister of the United Kingdom from 1801 to 1804
Henry Unwin Addington (1790–1870), British diplomat and civil servant
Isaac Addington (1645–1719), functionary of various colonial governments of Massachusetts
John Hiley Addington (1759–1818), British politician
Stephen Addington (1729–1796), English dissenting clergyman and teacher
Steve Addington (born 1964), American NASCAR crew chief
Tom Addington (1919–2011), British Army soldier
William Addington, 3rd Viscount Sidmouth (1824–1913), British politician
