• Monarch – Christian VI^[1]
• Prime minister – Johan Ludvig Holstein-Ledreborg

• 30 April – Theatrum Anatomico-chirurgicum is inaugurated in Copenhagen and an exam in surgery is introduced.^[2]
• 7 November – Laurits S. Winther establishes a ropewalk at Sortebrødre Torv in Odense which will eventually become Roulunds Fabrikker.

Undated edit

• Kurantbanken is established.
• The University of Copenhagen introduces a Candidate of Law degree.

• The Hermitage Hunting Lodge in Jægersborg Dyrehave is completed.
• North wing of house at Bregentved is constructed.
• Roskilde Royal Mansion is completed.
• The architects Lauritz de Thurah and Nicolai Eigtved are put in charge of designing the interior of the first Christiansborg Palace.
• A medal designed by Johann Carl Hedlinger is struck in commemoration of Christian VI's expansion of the royal naval fleet.

• 11 January – Christian Joseph Zuber, architect (died 1802)
• 24 January – Jacob Nicolai Wilse, priest and meteorologist (died 1801)
• 30 January – Johan Rudolph Thiele, book printer, company founder (died 1815)
• 21 July – Jean Abraham Grill, businessman (died 1792)
• 25 August – Frederik Georg Adeler, county official and landowner (died 1810)
• 16 September – Johannes Nikolaus Tetens, philosopher, statesman and scientist (died 1807)

Full date missing

• Henrich Brandemann, architect (died 1803)^[3]
• Johann Clemens Tode, physician (died 1807)
• Helferich Peter Sturz, Postmaster-General (died 1779)

• 13 September – Christen Thomesen Sehested, admiral (born 1664)
• 23 January – Adam Christopher Knuth, 1st Count of Knuthenborg (born 1687)
• 27 September – Karen Brahe, book collector (born 1657)