Arthur Duncombe (11 February 1840 – 12 June 1911), was a British Conservative politician.
Duncombe was the son of Admiral the Hon. Arthur Duncombe, a younger son of Charles Duncombe, 1st Baron Feversham. His mother was Delia, daughter of John Wilmer Field. He entered the House of Commons for Howdenshire in 1885, a seat he held until 1892.
Duncombe married Katherine Henrietta Venezia, daughter of Henry John Milbank, in 1869. Their daughter the Hon. Muriel Katherine married George Nicholas de Yarburgh-Bateson, 4th Baron Deramore, and was the mother of Richard de Yarburgh-Bateson, 6th Baron Deramore. Duncombe died in June 1911, aged 71. His wife survived him by fifteen years and died in October 1926.