Anne Finch may refer to:
- Anne Conway, Viscountess Conway née Finch, (1631 – 1679), English philosopher
- Anne Finch, Countess of Winchilsea (1661 – 1720), countess and poet
- Anne Finch, Countess of Nottingham and Winchilsea (1668–1743), relation by marriage of the above
- Anne Vavasour ( 1560 – 1650), married name Finch, Lady of the Bedchamber to Queen Elizabeth I of England
- Anne Twysden (1574 – 1638) (born Anne Finch), British writer