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

Undated

• The Lapp Codicil of 1751 is signed, defining the land border between Denmark-Norway and Sweden.
• Construction of Zinn House and Prince William Mansion is completed in Copenhagen.

• 11 August – Poul de Løvenørn, naval officer (died 1826)
• 15 October – Michael Herman Løvenskiold, district governor and landowner (died 1807)

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• Birgitte Winther, opera singer (died 1809)
• Peter Rabe Holm, businessman (died 1824)
• Hans Rudolph Saabye, businessman (died 1817)
• Hans Christian Ondrup, master builder, stucco artist and porcelain painter (died 1814)

• 6 January – Carl Marcus Tuscher, polymath: portrait painter, printmaker, architect, and decorator (born 1705 in the Holy Roman Empire)
• 19 December – Queen Louise, Queen of Denmark-Norway (born 1724 in the United Kingdom)