Trump was scheduled to visit the nation on Sept 2.

He was scheduled to visit the country at the invitation of Denmark's Queen Margrethe II.

"Denmark is a very special country with incredible people, but based on Prime Minister Mette Frederiksen’s comments, that she would have no interest in discussing the purchase of Greenland, I will be postponing our meeting scheduled in two weeks for another time," Trump tweeted.

"The Prime Minister was able to save a great deal of expense and effort for both the United States and Denmark by being so direct. I thank her for that and look forward to rescheduling sometime in the future," he said.

"Then last week Mr Trump suggested the US was interested in buying Greenland, an autonomous Danish territory," BBC reported.

Danish PM Mette Frederiksen described the suggestion as "absurd" and said she hoped Mr Trump was not being serious, reported the British media.

Ahead of Trump's decision to cancel his visit to Greenland, US ambassador to Denmark, Carla Sands, tweeted: "Denmark is ready for the POTUS @realDonaldTrump visit! Partner, ally, friend."

She later said Trump will visit the country is future.

She also descrbed Denmark as a 'great freind'.

".@POTUS  values & respects and looks forward to a visit in the future to discuss the many important issues in our strong bilateral relationship! Great friends & Allies like and should be able to discuss all issues openly & candidly. #dkpol #partnershipsmatter," she tweeted.