• Secretary of State for Scotland: vacant

Law officers edit

• Lord Advocate – Duncan Forbes
• Solicitor General for Scotland – Charles Erskine

Judiciary edit

• Lord President of the Court of Session – Lord North Berwick
• Lord Justice General – Lord Ilay
• Lord Justice Clerk – Lord Grange, then Lord Milton

• 8 August – Wade's Bridge, Aberfeldy, built and opened in 1733, is formally opened in the presence of General George Wade.^[1]

• 22 January – Robert Aitken, printer and publisher in Philadelphia, first to publish an English language Bible in the U.S. (died 1802 in the United States)
• 17 May (bapt.) – John Brown, physician (died 1788 in London)
• 20 September – James Keir, geologist, chemist and industrialist (died 1820 in West Bromwich)
• 25 October – James Beattie, poet and moralist (died 1803)
• 14 November – John Howie, biographer (died 1793)
• James Tassie, portrait engraver (died 1799 in London)

• 27 February – John Arbuthnot, satirist and polymath (born 1667; died in London)

• Timeline of Scottish history