Addington is a surname. Notable people with the surname include:
Anthony Addington (1713–1790), English physician and writerCrandell Addington (born 1938), American poker player, one of the founders of the World Series of PokerDavid Addington (born 1957), American lawyer, formerly chief of staff to Dick CheneyHenry Addington, 1st Viscount Sidmouth (1757–1844), Prime Minister of the United Kingdom from 1801 to 1804Henry Unwin Addington (1790–1870), British diplomat and civil servantIsaac Addington (1645–1719), functionary of various colonial governments of MassachusettsJohn Hiley Addington (1759–1818), British politicianStephen Addington (1729–1796), English dissenting clergyman and teacherSteve Addington (born 1964), American NASCAR crew chiefTom Addington (1919–2011), British Army soldierWilliam Addington, 3rd Viscount Sidmouth (1824–1913), British politician