• Monarch – Frederick VI^[1]
• Prime minister – Frederik Moltke

• 3 March – Sparekassen Bikuben is founded in Copenhagen.
• 27 March – The Battle of Anholt during the Gunboat War.
• 30 June – Hassel & Teudt is founded in Copenhagen.

Undated edit

• Christiani & Grisson is founded.

January–March edit

• 18 February – Camillus Nyrop, instrument maker (died 1883)

April–June edit

• 3 April – Christian August Broberg, businessman and politician (died 1886)
• 23 April – Carl Ferdinand Allen, historian (died 1871)
• 12 May – Johannes Peter Langgaard, businessman and brickyard owner (died 1890)

July–September edit

• 16 August – Adam August Müller, painter (died 1844)
• 2 September – J. C. Jacobsen, brewer, industrialist, founder of Carlsberg (died 1887)

October–December edit

• 23 November – Elise Holst, stage actress (died 1891)
• 24 November – Ditlev Gothard Monrad, politician and bishop (died 1887)
• 4 December – Martin Hammerich, literary historian and educator (died 1881)
• 31 December – Moritz Unna, photographer (died 1871)

• 4 September – Frédéric de Coninck, merchant, ship owner (born 1740)
• 26 September – Cathrine Marie Møller, artist (born 1744)
• 12 October – Thomas Potter, industrialist (born 1745)