• Monarch – Frederick V^[1]
• Prime minister – Johan Ludvig Holstein-Ledreborg

• January – The castrum doloris of Louise in Christiansborg Chapel.
• 8 July – The wedding of Frederick V and Juliana Maria of Brunswick-Wolfenbüttel.

Undated edit

• 4 February – Johan Martin Schønheyder, Supreme Court attorney (died 1831)^[2]
• 12 March – Frederik Christian Winsløw, medal engraver (died 1811)
• 31 March – Erich Erichsen, merchant and ship-owner (died (1837)
• 6 October – Jens Friedenreich Hage, merchant and landowner (died 1831)
• 8 October – Grímur Jónsson Thorkelin, scholar, archivist (died 1829)

• 24 October – Christian Falster, poet and philologist (born 1690)