Trump’s Davos speech is currently slated for 14:30 (13:30 GMT). It’s not clear how the delay will impact his schedule, which includes meetings with other foreign leaders and a reception of business leaders.
On Tuesday, Trump said he would use the speech to tell European leaders “we have to have” Greenland, as the diplomatic row widens over Trump’s threats to acquire it.
The president has insisted that the US must acquire Greenland for national security reasons and has not ruled out using military force in doing so.
His demands have been rejected by Greenland’s leaders, and by Nato member Denmark, of which the island is a semi-autonomous territory.
European leaders have also expressed opposition, several of whom – including France, Sweden and Germany – also sent military personnel to the territory for exercises and security purposes.
Trump has since threatened additional trade tariffs against a number allies if they oppose his plan.