As the palace is one of the royal family's official residences, it is not open to the public. The Louisiana Museum of Modern Art in Humlebæk to the south of Helsingør is Denmark's most popular art museum.
Created in 1958, it has a large permanent collection of paintings and sculptures from the mid-20th century to the present.
The region has a history dating back at least to the 13th century as in 1231 Helsingør was mentioned in Valdemar's Census Book before obtaining privileges as a market town under Eric of Pomerania in 1426.
The heathery hills of Tibirke Bakker to the south of Tisvilde offer excellent views of the surroundings from a height of 57 m (187 ft).
Further south, the last resort on the northwest coast is Liseleje, some 8 km north of Frederiksværk.
Another attraction is the open-air Gunpowder Museum (Krudtværksmuseet).
The Gothic, brick-built Roskilde Cathedral is a UNESCO World Heritage Site, attracting over 100,000 visitors a year.
Rungstedlund, also known at the Karen Blixen Museum, is a country house on the east coast which has been preserved to present the house in which the renowned Danish writer Karen Blixen, author of Out of Africa, lived until her death in 1962. The Danish Museum of Science and Technology (Danmarks Tekniske Museum) in Helsingør has a wide variety of attractions for both adults and children including steam engines, veteran cars and electricity.
The remaining buildings of 12th-century Esrum Abbey near Hillerød were listed as a heritage site in 1992.
Some 12 km to the northwest is Gilleleje, Zealand's most northernmost point, which has grown from a little village in 1900 to a popular coastal resort with sandy beaches, an active fishing harbour and several museums.
Rågeleje, 10 km southwest of Gilleleje, is a little fishing village with a history dating back to the 16th century.
It is not only the site of William Shakespeare's play Hamlet but is one of the most important Renaissance castles in northern Europe.
The lively city of Helsingør also has a cathedral church built in the 16th century.
From the Danish Reformation in 1536, the monarchy confiscated the extensive estates in North Zealand which had belonged to the monasteries gaining ownership of most of the region until the beginning of the 18th century.