Anthony Albanese has spoken with US president-elect Donald ...

Anthony Albanese has spoken to president-elect Donald Trump, following his victory in the US election.

The call took place on Thursday morning, following a press conference at Parliament House when the prime minister told reporters he was yet to make contact with Mr Trump.

Mr Albanese said it was good to speak to the president-elect and "personally congratulate him on his election victory" in a statement posted to social media.

"We talked about the importance of the alliance, and the strength of the Australia-US relationship in security, AUKUS, trade and investment," he said.

"I look forward to working together in the interests of both our countries."

Mr Trump had already spoken to a number of world leaders in the wake of his election victory.

The prime minister earlier dismissed a question about whether he needs to apologise to Trump for previously negative comments about the president-elect.

Donald Trump will be the next US president after claiming a decisive victory in this week's election.  (Reuters: Brian Snyder)

In a 2017 video taken at a music festival, Mr Albanese is asked about how he would deal with Mr Trump. "With trepidation," he responded.

"He [Trump] scares the s**t out of me and I think it's of concern the leader of the Free World thinks that you can conduct politics through 140 characters on Twitter overnight."

Mr Albanese told reporters on Thursday he looks forward to working with president-elect Trump.

"I've demonstrated, I think, my ability to work with world leaders and to develop relationships with them, which are positive," Mr Albanese said.

Earlier in the day, Foreign Minister Penny Wong congratulated Mr Trump on the election result, describing it as a "decisive victory".

She told the ABC that she was looking forward to working with the new administration even if there were policies on which they disagreed.

"We are an alliance based on our values and history and shared strategic objectives, it's a timeless alliance," she said.

"The alliance is big enough and strong enough to comprehend differences in policy because of its history and shared objectives."

Asked about Mr Trump's plans to impose significant tariffs on imported goods, she said the former president "campaigned on change and president Trump will no doubt deliver change".

"I would first say to Australians that we should be confident in ourselves and our ability to work together to progress Australia's interests."

Shadow Foreign Minister Simon Birmingham said Australia had successfully worked through "less conventional" policies from the Trump administration before.

"President [elect] Trump has made policy commitments coming into this election, and he's won this election, and seems to have won it convincingly," he said. 

"He takes an approach with policies that are sometimes less conventional than people are customarily used to, and he makes strong and bold pronouncements that are less normal and more surprising than people are used to, but we have successfully worked through those policies before."