Amsterdam is the capital city and most populous municipality of the Netherlands. Its status as the capital is mandated by the Constitution of the Netherlands, although it is not the seat of the government, which is The Hague. Amsterdam has a population of 851,373 within the city proper, 1,351,587 in the urban area] and 2,410,960 in the metropolitan area. The city is located in the province of North Holland in the west of the country but is not its capital, which is Haarlem. The metropolitan area comprises much of the northern part of the Randstad, one of the larger conurbations in Europe, with a population of approximately 8 million.

Oslo is the capital and most populous city of Norway. It constitutes both a county and a municipality. Founded in the year 1040 as Ánslo, and established as a trading place in 1048 by Harald Hardrada, the city was elevated to a bishopric in 1070 and a capital under Haakon V of Norway around 1300. Personal unions with Denmark from 1397 to 1523 and again from 1536 to 1814 reduced its influence, and with Sweden from 1814 to 1905 it functioned as a co-official capital. After being destroyed by a fire in 1624, during the reign of King Christian IV, a new city was built closer to Akershus Fortress and named Christiania in the king's honour. It was established as a municipality on 1 January 1838. The city's name was spelled Kristiania between 1877 and 1897 by state and municipal authorities. In 1925 the city was renamed Oslo.

the capital and chief port of Denmark, a city that occupies the eastern part of Zealand and northern part of the island of Amager; population 518,574 (2009).

the capital and chief port of Denmark, a city that occupies the eastern part of Zealand and northern part of the island of Amager; population 518,574 (2009).

Stockholm is the capital of Sweden and the most populous urban area in the Nordic countries; 960,031 people live in the municipality, approximately 1.5 million in the urban area, and 2.3 million in the metropolitan area. The city stretches across fourteen islands where Lake Mälaren flows into the Baltic Sea. Just outside the city and along the coast is the island chain of the Stockholm archipelago. The area has been settled since the Stone Age, in the 6th millennium BC, and was founded as a city in 1252 by Swedish statesman Birger Jarl. It is also the capital of Stockholm County.

Stockholm is the cultural, media, political, and economic centre of Sweden. The Stockholm region alone accounts for over a third of the country's GDP, and is among the top 10 regions in Europe by GDP per capita. It is an important global city, and the main centre for corporate headquarters in the Nordic region. The city is home to some of Europe's top ranking universities, such as the Stockholm School of Economics, Karolinska Institute and Royal Institute of Technology (KTH). It hosts the annual Nobel Prize ceremonies and banquet at the Stockholm Concert Hall and Stockholm City Hall. One of the city's most prized museums, the Vasa Museum, is the most visited non-art museum in Scandinavia. The Stockholm metro, opened in 1950, is well known for the decor of its stations; it has been called the longest art gallery in the world. Sweden's national football arena is located north of the city centre, in Solna. Ericsson Globe, the national indoor arena, is in the southern part of the city. The city was the host of the 1912 Summer Olympics, and hosted the equestrian portion of the 1956 Summer Olympicsotherwise held in Melbourne, Victoria, Australia.

Stockholm is the seat of the Swedish government and most of its agencies, including the highest courts in the judiciary, and the official residencies of the Swedish monarch and the Prime Minister. The government has its seat in the Rosenbad building, the Riksdag (Swedish parliament) is seated in the Parliament House, and the Prime Minister's residence is adjacent at Sager House. Stockholm Palace is the official residence and principal workplace of the Swedish monarch, while Drottningholm Palace, a World Heritage Site on the outskirts of Stockholm, serves as the Royal Family's private residence.

Aarhus is the second-largest city in Denmark and the seat of Aarhus municipality. It is located on the east coast of the Jutlandpeninsula, in the geographical centre of Denmark, 187 kilometres (116 mi) northwest of Copenhagen and 289 kilometres (180 mi) north of Hamburg, Germany. The inner urban area contains 273,077 inhabitants (as of 1 January 2018) and the municipal population is 340,421 (as of 2018). Aarhus is the central city in Business Region Aarhus and in the East Jutland metropolitan area, which had a total population of 1.378 million in 2016.

The history of Aarhus began as a fortified Viking settlement founded in the 8th century and with the first written records stemming from the bishopric seated here from at least 948. The city was founded on the northern shores of a fjord at a natural harbour and the primary driver of growth was for centuries seaborne trade in agricultural products. Market town privileges were granted in 1441, but growth stagnated in the 17th century as the city suffered blockades and bombardments during the Swedish Wars. In the 19th century it was occupied twice by German troops during the Schleswig Wars but avoided destruction. As the industrial revolution took hold, the city grew to become the second-largest in the country by the 20th century.

Amsterdam is the capital city and most populous municipality of the Netherlands. Its status as the capital is mandated by the Constitution of the Netherlands, although it is not the seat of the government, which is The Hague. Amsterdam has a population of 851,373 within the city proper, 1,351,587 in the urban area] and 2,410,960 in the metropolitan area. The city is located in the province of North Holland in the west of the country but is not its capital, which is Haarlem. The metropolitan area comprises much of the northern part of the Randstad, one of the larger conurbations in Europe, with a population of approximately 8 million.