• Monarch – Christian VII^[1]
• Prime minister – Christian Günther von Bernstorff

• 3 March – Battle of West Kay: the Danish brig HDMS Lougen is attacked by two British vessels at West Kay in the Danish West Indies.
• 2 April – The Battle of Copenhagen takes place.^[2]
• 9 April – A meeting between Crown Prince Frederik and Vice Admiral Lord Nelson at Amalienborg Palace results in a ceasefire. Denmark has to leave the neutrality pact.^[2]
• 6 July – The first vaccination against smallpox in Denmark is made, using the method invented by Edward Jenner.^[2]

Undated edit

• Exercise is for the first time introduced in the curriculum of a state school in Denmark.^[2]

• 4 April – Frederik Oxholm, colonial administrator (died 1871)
• 14 June – Peter Wilhelm Lund, natural scientist (died 1880)
• 24 June – Jørgen Valentin Sonne, painter (died 1890)
• 28 August – Adolph Stramboe, ballet dancer (died 1850)
• 13 October – Søren Hjorth, railway pioneer and inventor (died 1870)

• 20 January – Alexander Kølpin (born (11731)
• 21 January – Peter Christian Abildgaard, scientist (born 1740)
• Elisabeth Christine Berling, businessperson (born 1744)