Iverson is a surname. Notable people with the surname include:
Alfred Iverson Jr. (1829–1911), American Civil War general
Alfred Iverson Sr. (1798–1873), American politician
Allen Iverson (born 1975), American basketball player
Donald L. Iverson (1923-1999), American politician
Colton Iverson (born 1989), American basketball player for Maccabi Tel Aviv of the Israeli Basketball Premier League
F. Kenneth Iverson, American businessman
Jack Iverson (1915–1973), Australian cricketer
Jacob J. Iverson (1850-1923), American politician
Johnathan Lee Iverson (born 1976), American circus entertainer
Kenneth E. Iverson, Canadian computer scientist, inventor of APL
May Iverson, fictional heroine of a series of novels by Elizabeth Jordan
Philip Iverson (1965–2006), Canadian artist
Samuel G. Iverson (1859-1928), American politician
Sherrice Iverson (1989–1997), American murder victim
