Prime Minister Malcolm Turnbull has sought to reassure Australians its alliance and deep relationship with the US will continue after the shock election of Donald Trump as its next president.

Hailing the victory as a "great and momentous choice", Mr Turnbull said the two countries shared "enduring national interests" no matter who was in power in Canberra and Washington.

"This is an historic moment. It has been a long campaign, one that Australians have witnessed with awe - with consternation, indeed - from time to time," he said in a statement shortly after Mr Trump declared victory.

"But let me reassure all Australians that the ties that bind Australia and the United States are profound, they are strong, they are based on our enduring national interests.