• Monarch – Christian VII^[1]
• Prime minister – Andreas Peter Bernstorff

• 4 March – The sc^{[clarification needed]} hool Efterslægtselskabets skole is founded in Copenhagen.^[2]
• 27 April – HDMS Indfødsretten is launched at Nyholm in Copenhagen.^[3]
• 25 August – The Great Agricultural Commission (Den Store Landbokommision) is set up with the task of rethinking the relationship between landowners and tenant farmers. It is formally abolished in 1816 but is inactive from 1802.^[4]
• 26 September – Christian VII visits London.

Undated edit

• The Danish–Icelandic Trade Monopoly ends.
• Foundation of Madam Lindes Institut.

January–March edit

• 3 January – Ole Jørgen Rawert, government official and topographic painter (died 1851)
• 8 January – Christen Niemann Rosenkilde, actor (died 1861)
• 28 January – Nathaniel Wallich, botanist (died 1854)
• 12 March – Bendix Grodtschilling the Youngest, painter (died 1737)

July–September edit

• 15 September – Frederik Treschow, supreme court attorney, politician, landowner and philanthropist (died 1869)
• 18 September – Christian VIII, King of Denmark (died 1848)^[5]

October–December edit

• 23 October – Lewin Jürgen Rohde, naval officer and harbour master (died 1857)
• 13 December – Daniel Gottvald Reimer Bentley, civil servant (died 1869)

• January 8 — Johan Mandelberg, painter (born 1730)
• 16 March – Cecilie Christine Schøller, socialite (born 1720).
• December 29 – Johan Herman Wessel, poet, playwright (born 1742)

Full date missing edit

• Johan Bernhardt Schottmann, master builder (born 1734 in Saxony)