Sir Francis Henry Lee, 4th Baronet (17 January 1639 – 4 December 1667) was an English politician who sat in the House of Commons from 1660 to 1667. Lee was the son of Sir Francis Henry Lee, 2nd Baronet, of Quarrendon, Buckinghamshire, and his wife Hon. Anne St. John, daughter of Sir John St John, 1st Baronet of Lydiard Tregoze, later Countess of Rochester. In 1659 he succeeded his brother Henry in the baronetcy. Lee lived at Ditchley, Oxfordshire, and died at the age of 28.