Canada is set to open its first diplomatic outpost in Greenland in a significant show of solidarity following US President Donald Trump's threats to take control of the territory.

A delegation of senior Canadian officials, including Governor General Mary Simon, and foreign minister Anita Anand, are travelling to Nuuk on Friday to formally open Canada's consulate, accompanied by a Canadian Coast Guard ship.

Ahead of the trip, Simon said in a speech that Canada "stands firmly in support of the people of Greenland who will determine their own future".

Their visit comes amid a similar trip made by French officials, who are due to open their own consulate in the territory the same day.

The Canadian and French missions are a historic expansion of foreign engagement in Greenland. Until this week, only Iceland and the US had formal diplomatic consulates in Nuuk.