1738 in Denmark

Incumbents

• Monarch - Christian VI
• Prime minister - Johan Ludvig Holstein-Ledreborg

Births

• 7 September – Enevold Brandt - Danish courtier

Deaths

• 11 June - Caspar Bartholin the Younger, anatomist
• 18 November - Hendrick Krock, painter to the Danish Court

Full date unknown

• March - Margrethe Lasson, novelist