Anna Mae (also Anna May) is a feminine double name, composed of Anna and Mae. Notable people with the name include:
Anna Mae Aquash (1945–1975), Mi'kmaq activist and member of the American Indian MovementAnna Mae Bullock, better known as Tina Turner (born 1939), American singerAnna Mae Hays (born 1920), brigadier general in the United States ArmyAnna Mae He (born 1999), the subject of a custody battle between He's biological parents and foster parentsAnna May Hutchison (1925–1998), American baseball playerAnna Mae Routledge (born 1982), Canadian actressAnna Mae Winburn (1913–1999), African-American vocalist and jazz bandleaderAnna May Wong (1905–1961), Chinese American movie star