• Sir William Cockburn of Langton, 1st Baronet (22 November 1627 (NS) – 1628)
• Sir William Cockburn of Langton, 2nd Baronet (1628–1650)
• Sir William Cockburn of Langton, 3rd Baronet (1650–1657)
• Sir Archibald Cockburn of Langton, 4th Baronet (1657–1705)
• Sir Archibald Cockburn of Langton, 5th Baronet (15 Nov 1687-1705–1710)
• Sir Alexander Cockburn of Langton, 6th Baronet (1710–1739)
• Sir Alexander Cockburn of Langton, 7th Baronet (1739–1745 at Fontenoy) Ensign in the First Regiment of Foot Guards
• Sir James Cockburn of Langton, 8th Baronet (c.1729-1745–1804) Member of Parliament for Linlithgow Burghs
• Sir James Cockburn of Langton, 9th Baronet (21 Mar 1771-1804–1852) Governor of Bermuda
• Sir George Cockburn of Langton, 10th Baronet (1772-1852–1853) Admiral of the Fleet and First Sea Lord
• Sir William Cockburn of Langton, 11th Baronet (1853–1858) Dean of York
• Sir Alexander James Edmund Cockburn of Langton, 12th Baronet (1858–1880) Lord Chief Justice of England and Wales

On his death the Cockburn of Langton baronetcy became dormant.

• Sir James Cockburn of that Ilk, 1st Baronet (1671–1703)
• Sir William Cockburn of that Ilk, 2nd Baronet (1704–1751)
• Sir James Cockburn of that Ilk, 3rd Baronet (1751–1780)
• Sir William James Cockburn of that Ilk, 4th Baronet (1780–1800)
• Sir James Cockburn of that Ilk, 5th Baronet (1800–1809)
• Sir William Cockburn of that Ilk, 6th Baronet (1809–1835)
• Sir William Sarsfield Rossiter Cockburn of that Ilk, 7th Baronet (1835–1858)
• Sir Edward Cludde Cockburn of that Ilk, 8th Baronet (1858–1903)
• Sir Robert Cockburn of that Ilk, 9th Baronet (1903–1938)
• Sir James Stanhope Cockburn of that Ilk, 10th Baronet (1867–1947)
• Sir John Brydges Cockburn of that Ilk, 11th Baronet (1870–1949)
• Sir John Elliot Cockburn of that Ilk, 12th Baronet (1925–2015)
• Sir Charles Christopher Cockburn of that Ilk, 13th Baronet (born 1950)

The heir apparent is the current holder's elder son, Christopher Samuel Alexander Cockburn (born 1986).

• Sir Alexander de Cokburne, Baron of Langton, Carriden, Bolton and Skirling (c. 1310 – c. 1370)
• unknown Cockburn
• Sir Alexander de Cockburn, Baron of Carriden (born 1358). Keeper of the Great Seal of Scotland, 1389–96.
• unknown Cockburn
• Alexander de Cockburn, Keeper of the Great Seal of Scotland. Became the Heritable Usher of the White Rod of the Parliament of Scotland on 10 February 1473.
• unknown Cockburn
• unknown Cockburn
• Sir William Cockburn, Baron of Langton (died 1513 at Flodden)
• William Cockburn of that Ilk (late 15th century – 1564)
• Alexander Cockburn of that Ilk (died 1583)
• William Cockburn of that Ilk (died 1600)
• William Cockburn of that Ilk (died 1659)
• John Cockburn of that Ilk (1598 – after 1628), father of Sir James Cockburn of that Ilk, 1st Baronet

^[1]

• Sir John Cockburn, 12th Baronet of that Ilk, obituary

• Leigh Rayment's list of baronets – Baronetcies beginning with "C" (part 3)