The title of Lord Rutherfurd was a Lordship of Parliament in the Peerage of Scotland.
He was further created Earl of Teviot on 2 February 1663, with remainder to the heirs male of his body.
He was killed while serving as Governor of Tangier on 3 May 1664, when the earldom became extinct and the lordship passed to his kinsman Sir Thomas Rutherfurd of Hunthill.
The third Lord's ill-fated engagement to Janet Dalrymple, daughter of James Dalrymple, 1st Viscount of Stair, was the inspiration for Sir Walter Scott's 1819 novel The Bride of Lammermoor.
The lordship became dormant on the death of the fourth Lord in 1724, but was still being claimed as late as 1839.