Cresheld Draper (8 November 1646 – 15 March 1694) was an English politician who sat in the House of Commons from 1678 to 1689.
Draper was the son of William Draper of May Place Crayford and his wife Mary Cresheld daughter of Richard Cresheld, sergeant at law. His father died when Draper was four, leaving him the manors and estates at Crayford.
Draper was elected Member of Parliament (MP) for Winchelsea on petition on 7 February 1678 after complaining of an undue Return of John Banks and held the seat until 1689. In 1685 he was Baron of the Cinque Ports for the coronation of King James II.
Draper held the rank of colonel. He died at the age of 47 and his heirs sold his properties at Crayford to Sir Cloudesley Shovel.
Draper married Sarah Gauden daughter of Denis Gauden of Clapham, Surrey in around 1666.