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

• 13 December – The County of Hardenberg Reventlow is established by Christian Henrik August Hardenberg-Reventlow from the manors of af Hardenberg (Krenkerup), Christiansdal, Nielstrup, Rosenlund, Nørregård and Sæbyholm.

Undated edit

January–March edit

• 15 February – Hans Nielsen Jeppesen, businessman (died 1883)
• 16 February – Wilhelm Sponneck, nobleman and politician, Danish finance minister (died 1888)

April–June edit

• 21 April – Louise Rasmussen, ballet dancer and stage actor (died 1874)
• 23 June – Isaac Wilhelm Tegner, lithographer (died 1893)

July–September edit

• 29 July – Anker Heegaard, businessman (died 1893)
• 23 September – Erhardine Adolphine Hansen, actress (died 1893)

October–December edit

• 29 December – Hans Jørgen Hammer, painter (died 1882)

• 15 January – Thomas Bugge, astronomer and surveyor (born 1740)
• 30 January – Johan Rudolph Thiele, book printer, company founder (born 1736)