Anne Spencer, Countess of Sunderland (née Digby; c. 1646 – 26 April 1715) was the wife of Robert Spencer, 2nd Earl of Sunderland and the daughter of George Digby, 2nd Earl of Bristol and Lady Anne Russell.
Anne married Sunderland on 10 June 1665. The groom had previously broken off their long-standing engagement; according to Samuel Pepys he told his friends that he had reason enough and was resolved never to have her. He soon had second thoughts and their mothers worked together to produce a reconciliation which resulted in an entirely successful marriage. She was a lady-in-waiting to Mary of Modena during the reign of James II, and was present at the birth of the Prince of Wales, signalling to the king that his new child was a boy.