• Monarch – Frederick IV^[1]
• Grand Chancellor – Ulrik Adolf Holstein

• 14 July – Vitus Bering begins his first exploration aboard the ship Gabriel and sailed northward from the Kamchatka Peninsula and through the strait that now bears his name.
• 20 October – The Copenhagen Fire of 1728 breaks out.
• 23 October – The fire in Copenhagen finally dies out after destroying approximately 28% of the city and leaving 20% of its population homeless.

Undated edit

• The Lille Grønnegade Theatre in Copenhagen, the first public theater in Denmark, is closed. ^[2]
• A new town hall is built in Viborg next to Viborg Cathedral. The building now houses the Skovgaard Museum

• 26 June – Frederik Christian von Haven, philologist, theologian and patron of the arts (died 1763)
• 29 July – Hermann Abbestée, governor of Danish India (died 1794)
• 18 October – Peter Frederik Suhm, historian (died 1798

• 24 September – Frederik Krag, noble, civil servant (born 1655)