Adam Cockburn, Laird of Ormiston, Lord Ormiston (1656 – 16 April 1735), was a Scottish administrator, politician and judge. He served as Commissioner for Haddington Constabulary in the parliaments of 1681-2 and 1689, and in the conventions of 1678 and 1689. He was appointed Lord Justice Clerk on 28 November 1692. Cockburn served as a member of the Privy Council, Treasurer Depute from 1699 until the accession of Anne, Lord Justice Clerk for a second term (1705–10), and a Lord of Session from 1705.