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

• 9 May – The County of Vrahesminde is established by Preben Bille-Brahe from the manors of af Hvedholm, Damsbo, Stensgård and Østrupgård.
• 20 June – The abolishment of the Stavnsbånd, a serfdom-like institution originally introduced in 1733. The implementation was gradual.

Undated edit

• 4 June – Niels Laurits Høyen, art historian (Denmark's first) and critic (died 1870)
• 19 July – Christian August, future Duke of Schleswig-Holstein-Sonderburg-Augustenburg (died 1869)
• 11 October – Thomas Overskou, actor, playwright and historian (died 1873)
• 13 October – Herman Wilhelm Bissen, sculptor (died 1868)
• 18 December – Emil Normann, painter (died 1881)

• 7 September – Peter Frederik Suhm, historian (born 1728)
• 21 October – Thomas de Malleville, colonial administrator (born 1739)
• 20 December – Johan Zoëga, entomologist and botanist (born 1742)