Events from the year 1718 in Denmark.

• Monarch – Frederick IV^[1]
• Grand Chancellor – Christian Christophersen Sehested

Undated

• The Speigelberg Company perform in Denmark.

• 18 February – Søren Abildgaard, naturalist, writer and illustrator (died 1791)
• 15 April – Christian Horrebow, astronomer (died 1776)
• 17 October – Christoffer Foltmar, painter and organist (died 1759)

Undated

• Anna Klemens, witch trial victim (died 1800)

• Marie Grubbe, noble (born 1643)