I'Anson is a surname. Notable people with the surname include:
Charlie I'Anson (born 1993), English footballer Chaz I'Anson (born 1986), English rugby league player Edward I'Anson (1812–1888), English architect Henry I'Anson (1734–1767), English naval commander Hugh I'Anson Fausset (1895–1965), English writer I'Anson baronets (1652–1800), 17th and 18th-century title in the Baronetage of England Lawrence W. I'Anson (1907–1990), Virginia Supreme Court judge Lisa I'Anson (born 1965), British broadcaster Thomas John I'Anson Bromwich (1875–1929), English mathematician I'Anson (musician), British musician