Events from the year 1760 in Denmark.

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

• 19 January – Marie Kofoed, businessperson and philanthropist (d. 1838)
• 11 February – Juliane Marie Jessen, author and translator (d. 1832)
• 5 May – Søren Læssøe Lange, painter and illustrator (died 1828)
• 30 November – Catharine Frydendahl, opera singer (d. 1831)
• 18 December – Knud Lyne Rahbek, literary historian, critic, writer, poet, magazine editor and art administrator (died 1830)