Sir Henry Bunbury, 3rd Baronet (29 November 1676 – 12 February 1733) of Stanney Hall, Cheshire was a British Tory politician who sat in the English and British House of Commons for 27 years from 1700 to 1727. At the time of the Hanoverian Succession in 1714 he was a Hanoverian Tory, but later offered support to the Jacobites.