Francis Anderson may refer to:
Sir Francis Anderson (philosopher) (1858–1941), Australian philosopher and educationist Francis T. Anderson (1808–1887), Virginia judge Sir Francis Anderson (MP for Newcastle-upon-Tyne) (1614–1679), English Royalist and politician Francis Sheed Anderson (1897–1966), Scottish businessman, civil servant and politician Francis Evelyn Anderson (1752–1821), British Army officer and politician, MP for Great Grimsby, and for Beverley
See also Frank Anderson (disambiguation) Frances Anderson (disambiguation)
Francis Andersen (1925–2020), Australian scholar