The Foreign Ministry in Beijing said China stands ready to work with the new Australian government led by Anthony Albanese.

The spokesman said China would continue advancing a more mature, stable, and productive comprehensive strategic partnership with Australia to further benefit both countries and peoples.

Labor Party leader Anthony Albanese, Australia's first prime minister to win a second consecutive term in two decades, promised in remarks on Sunday that he would run a disciplined and orderly government, stressing that Australians had voted for unity.

"We will be a disciplined, orderly government in our second term, just like we have been in our first," Albanese told reporters while visiting a coffee shop in his Sydney electorate where he said his late mother took him as a child.

"The Australian people voted for unity rather than division," Albanese added in brief public comments.

Australia's Labor government will prioritise dealing with the "dark shadow" of the US-China trade war following its resounding re-election victory, Treasurer Jim Chalmers said on Sunday, after a campaign that highlighted concerns over US trade policy and the global economy.

"What's happening, particularly between the US and China, does cast a dark shadow over the global economy ... We need to have the ability, and we will have the ability, to manage that uncertainty,” he said.

Representatives of the US also joined leaders from around the world to congratulate Albanese and his party.

In a statement, US Secretary of State Marco Rubio said the United States "looks forward to deepening its relationship with Australia to advance our common interests and promote freedom and stability in the Indo-Pacific and globally".

Albanese said he had spoken with the prime ministers of Papua New Guinea and New Zealand, and received "some good text messages" from leaders in Britain, France, "and a range of others”. (Reuters/AFP)