Events from the year 1704 in Denmark.

• Monarch – Frederick IV^[1]
• Grand Chancellor – Conrad von Reventlow

• Ole Rømer opens his Observatorium Tusculanum in Vridsløselille.
• Vitus Bering enrolls with the Imperial Russian Navy.
• The new Kommercekollegiet is set up,

• 4 April – Andreas Brünniche, painter (died 1769)

• 17 April – Ulrik Frederik Gyldenløve, statesman and military officer (born 1638)
• 17 June – Georg Franck von Franckenau, physician and botanist (born 1643 in Germany)
• 27 June – Elisabeth Helene von Vieregg, noble and lady-in-waiting (born 1679 in Germany)
• 30 October – Princess Frederica Amalia of Denmark, princess (born 1649)