Denmark adopts the characteristic Nordic Cross flag later taken up by all other Scandinavian countries.

A Nordic cross flag is a flag bearing the design of the Nordic or Scandinavian cross, a cross symbol in a rectangular field, with the centre of the cross shifted towards the hoist.

All independent Nordic countries have adopted such flags in the modern period, and while the Nordic cross is named for its use in the national flags of the Nordic nations, the term is used universally by vexillologists, in reference not only to the flags of the Nordic countries but to other flags with similar designs. The sideways cross is also known as the Cross of Saint Philip the Apostle, who preached not in Scandinavia but in Greece, Phrygia and Syria instead.

The cross design represents Christianity, and was first seen in the Dannebrog, the national flag of Denmark in the first half of the 13th century. The same design, but with a red Nordic cross on a yellow background, was used as union flag during the Kalmar union (1397 to 1523), and when that union fell apart in 1523 the same design, but with a yellow cross on a blue background (derived from the Swedish coat of arms adopted in 1442), was adopted as national flag of Sweden, while Norway adopted their flag in 1821. From its adoption in the early 16th century until 1906 the background of the flag of Sweden was dark blue, but was changed to the currently used lighter shade of blue in a new flag law that was adopted in 1906, after the dissolution of the union between Sweden and Norway. After gaining independence the other Nordic countries adopted national flags of the same design, Iceland in 1915 and Finland in 1917. The Norwegian flag was the first Nordic cross flag with three colours.

All Nordic flags may be flown as gonfalons as well.

Denmark (Danish: Danmark, pronounced [ˈtænmɑk] (listen)) is a Nordic country in Northern Europe. It is the most populous and politically central constituent of the Kingdom of Denmark, a constitutionally unitary state that includes the autonomous territories of the Faroe Islands and Greenland in the North Atlantic Ocean. European Denmark is the southernmost of the Scandinavian countries, lying southwest of Sweden, south of Norway, and north of Germany.

Spanning a total area of 42,943 km2 (16,580 sq mi), it consists of the peninsula of Jutland and an archipelago of 443 named islands, of which the largest are Zealand, Funen and the North Jutlandic Island. Denmark's geography is characterised by flat, arable land, sandy coasts, low elevation, and a temperate climate. As of 2022, it had a population of 5.87 million (1 November 2021), of which 800,000 live in the capital and largest city, Copenhagen. Denmark exercises hegemonic influence in the Danish Realm, devolving powers to handle internal affairs. Home rule was established in the Faroe Islands in 1948 and in Greenland in 1979; the latter obtained further autonomy in 2009.

The unified kingdom of Denmark emerged in the eighth century as a proficient maritime power amid the struggle for control of the Baltic Sea. In 1397, it joined Norway and Sweden to form the Kalmar Union, which persisted until the latter's secession in 1523. The remaining Kingdom of Denmark–Norway endured a series of wars in the 17th century that resulted in further territorial cessions to the Swedish Empire. Following the Napoleonic Wars, Norway was absorbed into Sweden, leaving Denmark with the Faroe Islands, Greenland, and Iceland. A surge of nationalist movements in the 19th century were defeated in the First Schleswig War of 1848, though the Second Schleswig War of 1864 resulted in further territorial losses to Prussia. The period saw the adoption of the Constitution of Denmark on 5 June 1849, ending the absolute monarchy that was established in 1660 and introducing the current parliamentary system.

An industrialised exporter of agricultural produce in the second half of the 19th century, Denmark introduced social and labour-market reforms in the early 20th century, which formed the basis for the present welfare state model and advanced mixed economy. Denmark remained neutral during World War I but regained the northern half of Schleswig in 1920. Danish neutrality was violated in World War II following a swift German invasion in April 1940. During occupation, a resistance movement emerged in 1943 while Iceland declared independence in 1944; Denmark was liberated in May 1945. In 1973, Denmark, together with Greenland but not the Faroes, became a member of what is now the European Union, but negotiated certain opt-outs, such as retaining its own currency, the krone.

Denmark is a highly developed country whose citizens enjoy a high standard of living: the country performs at or near the top in measures of education, health care, civil liberties, democratic governance and LGBT equality. Denmark is a founding member of NATO, the Nordic Council, the OECD, OSCE, and the United Nations; it is also part of the Schengen Area. Denmark maintains close political, cultural, and linguistic ties with its Scandinavian neighbours, with the Danish language being partially mutually intelligible with both Norwegian and Swedish.