The stamp, which is being issued to commemorate the couple's copper wedding anniversary on November 14, shows Crown Prince Frederik dressed in black leather fur-lined boots and white tunic adorned with medals, and his Australian wife Princess Mary in a colourful beaded top.
The couple's four children Prince Christian, Princess Isabella, Prince Vincent and Princess Josephine, who visited Greenland with their parents on the Danish Royal yacht in in 2014, are also shows in fur-lined Greenlandic national dress.
Under the picture the stamp bears the Greenlandic and Danish words for Greenland -- Kalaallit Nunaat and Grønland.
Greenland is an autonomous country within the Danish Realm and its citizens are also subjects of Denmark's Queen Margrethe II.
Since 21 June 2009, when the Greenland Self-Government Act came into force, the Greenland parliament has been gradually taking over responsibilities from the Danish government in Copenhagen.
The royal couple posted further pictures from the photo shoot for the stamp on the Danish Royal court's website, showing the children playing while still in costume.
Frederik, 48, last week fractured his spine while trampolining and is expected to take as long as three months to recover.