Alexander or Alex Mitchell may refer to:
Born before 1900
Alexander Mitchell (British politician) (1831–1873), MP for Berwick-upon-Tweed 1865–1868
Alexander Mitchell (engineer) (1780–1868), blind Irish engineer
Alexander Mitchell (Wisconsin politician) (1817–1887), president of the Milwaukee Road railroad, US Representative from Wisconsin
Alexander C. Mitchell (1860–1911), member of the U.S. House of Representatives from Kansas
Alexander Crichton Mitchell (1864–1952), Scottish physicist
Alexander Ferrier Mitchell (1822–1899), Scottish ecclesiastical historian and Moderator of the General Assembly of the Church of Scotland
Alexander H. Mitchell (1840–1913), United States military officer
Born after 1900
Alexander Mitchell (Saskatchewan politician) (1912–2003), politician in Saskatchewan, Canada
Alexander Graham Mitchell (1923–2010), first Governor of the Turks and Caicos, 1973–1975
Alex Mitchell (Australian footballer) (1912–2001), Australian rules footballer for South Melbourne
Alex Mitchell (Australian journalist) (born 1942), journalist in Britain and Australia
Alex Mitchell (British journalist) (1947–2010), British journalist and editor of Christian magazine Third Way
Alex Mitchell (English footballer) (born 2001), English footballer for Millwall and Leyton Orient
Alex Mitchell (musician), American musician and frontman of Circus of Power
Alex Mitchell (rugby union) (born 1997), English rugby union player
Alex Mitchell (died 1975), died laughing while watching The Goodies episode Kung Fu Kapers
Sandy Mitchell (novelist) (born 1958), pseudonym of British writer Alex Stewart
Sandy Mitchell (prisoner), imprisoned in Saudi Arabia 2000–2003