1761 in Denmark

• Monarch – Frederick V{{cite web |title=Frederick V {{!}} king of Denmark and Norway |url=https://www.britannica.com/biography/Frederick-V-king-of-Denmark-and-Norway |website=Encyclopedia Britannica |access-date=18 November 2019 |language=en}}
• Prime minister – Johan Ludvig Holstein-Ledreborg

• 4 January – The Danish Arabia Expedition departs from Copenhagen.{{cite web|url=http://www.kb.dk/en/nb/samling/os/naeroest/cneksp.html|title=The Arabian Journey 1761-1767 |publisher=Royal Danish Library|access-date=2012-11-06}}
• 13 January – The Fire Insurance for All Danish Market Towns is instituted by law.{{cite web|url=http://danmarkshistorien.dk/leksikon-og-kilder/vis/materiale/koebstaedernes-almindelige-brandforsikring/?no_cache=1|title=danmarkshistorien.dk|language=da|website=ortaelling.dk|access-date=13 March 2019}}

• Georg Christian Oeder begins the publication of Flora Danica
• Johan Jacob Bruun begins the publication of his Novus Atlas Daniæ

• 22 January {{ndash}} Georg Nikolaus von Nissen, diplomat and music historian (died 1826)
• 15 October – Peter Grønland, composer (died 1825)

• Edmund Bourke, diplomat (died 1821)
• Marie Cathrine Preisler, stage actress (died 1797)

• February 17 — Simon Carl Stanley, sculptor (born 1703)
• July 16 - Jacob Fortling, sculptor, architect and industrialist (born 1711)
• Princess Dorothea of Schleswig-Holstein-Sonderburg-Beck

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