• Monarch – Christian VII^[1]
• Prime minister – Andreas Peter Bernstorff

• January 3 – Aarhus Stiftstidende, a local newspaper based in Aarhus, is published for the first time.
• February 26 – The first Christiansborg Palace is destroyed in a fire.
• March 27 – Denmark-Norway and Sweden form a neutrality compact.
• June 11 – Friderich Christian Hager receives a commission as governor of the Danish Gold Coast.
• July– August – A large strike among carpenters and later some 2,000 other craftsmen hits Copenhagen, resulting in the arrest of more than 200 carpenters. It is met with a general strike involving more than 2,000 craftsmen.

Undated edit

• 4 March – Olaf Nikolas Olsen, cartographer (died 1848)
• 21 March – Poul Martin Møller, academic, writer, and poet (died 1838)
• 26 July – Johan Georg Forchhammer, mineralogist and geologist (died 1865)
• 14 December – Christian Frederik Zeuthen, landowner (died 1850)^[2]

• 27 December – Christian Albrecht Bluhme, politician, prime minister of Denmark (died 1866)

• 22 April – Georg Hjersing Høst, government official and writer (born 1734)^[3]
• 26 April – Johan Foltmar, composer (born 1714)
• 8 August – Andreas Bodenhoff, businessman (born 1723)
• 11 August – Christian Ulrik Foltmarm painter (born 1716)
• 29 September – Edvard Stormm educator and writer (born 1749)
• 13 November – Frederick Christian I, Duke of Schleswig-Holstein-Sonderburg-Augustenburg (born 1721)
• 29 November – Princess Sophia Frederica, princess of Denmark (born 1758)
• 29 December – Hermann Abbestée, governor of Danish India (born 1728)