Sir James Abercrombie, 1st Baronet

Sir James Abercrombie, 1st Baronet of Edinburgh (died 14 November 1724), was a British Army officer and politician who sat in the House of Commons of Great Britain in 1710.

Abercrombie was the illegitimate son of James Hamilton, 4th Duke of Hamilton. He joined the Royal Scots as an ensign on 24 May 1696, and fought in the Battle of Blenheim in 1704 as Aide-de-Camp to George Douglas-Hamilton, 1st Earl of Orkney. He became brevet major in 1706 and captain on 31 May 1707. He was created baronet on 21 May 1709. He subsequently served as a captain and lieutenant-colonel in the Coldstream Guards 1710–11.

Abercrombie was elected unanimously as Member of Parliament (MP) for Dysart Burghs at a by-election on 16 January 1710 and held the seat until the dissolution of parliament for the general election on 21 September 1710. He chose not to stand for re-election, and his successor as the member for Dysart Burghs, James Oswald, was elected unopposed on 31 October 1710.

Abercrombie became lieutenant-colonel on 20 March 1711 and brevet colonel on 1 November 1711. On 24 October 1712, he became Town Major (Lieutenant-Governor) of Dunkirk and held the post until his death.

He died without surviving male issue, and probably unmarried. The baronetcy became extinct on his death.