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

• 25 August – A. C. Gamél us founded when Augustin Cyrille Gamél opens a delicacy shop on Østergade in Copenhagen.^[2]

Undated edit

• Christiansø Lighthouse is first lit.

• 1 January – Fritz Petzholdt, painter (died 1838)
• 7 January – Louis Aumont, painter (died 1879)
• 7 February – Frederik Paludan-Müller, poet (died 1876)
• 2 April – Hans Christian Andersen, writer of plays, travelogues, novels, poems and fairy tales (died 1875)
• 14 May – Johan Peter Emilius Hartmann, composer (died 1900)
• 2 July – Hans Ditmar Frederik Feddersen, civil servant and politician (died 1863)
• 21 August – August Bournonville, ballet master and choreographer (died 1879)

Undated edit

• Theodore Cantor, zoologist (died 1860)

• 4 March – Hinrich Ladiges, businessman (born 1731)
• 7 December – Frederick, Hereditary Prince of Denmark (born 1753)