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

• 13 November– The Royal Danish Academy of Sciences and Letters is founded as a historical Collegium Antiquitatum. It was founded by secretary of state, Count Johan Ludvig Holstein and the history professor Hans Gram.^[2]

Undated edit

January–March edit

• 5 February – Frederik Christian Willerup, sculptor (died 1819)
• 16 February – Niels Lunde Reiersen, government official businessman (died 1795)

Apruk–June edit

• 12 April – Søren Gyldendal, bookstore owner, publisher (died 1802)
• 5 July – Henrik Gerner, naval officer and shipbuilder (died 1787)

July–September edit

• 26 July – Edouard Suenson, business executive (died 1921)
• 9 August – Johan Christian Schønheyder, bishop (died 1803)

October–December edit

• 7 October – Johan Zoëga, entomologist and botanist (died 1788)
• 9 October – Louise Nimb, restaurateur (died 1903)

• 22 September – Frederic Louis Norden, naval captain and explorer (born 1708)