Indigenous leaders fronting the Australian Climate Case have boarded Greenpeace's Rainbow Warrior ship in a show of solidarity with Pasifika communities holding governments and corporations to account on climate change.

It comes after the Federal Court spent a week in Boigu, Badu and Saibai Islands and Cairns hearing evidence of the effects of climate change from residents.

The hearings are the culmination of a case filed by Uncle Paul Kabai and Uncle Pabai Pabai in October 2021 against the Australian government. They argued the Commonwealth has a legal duty of care, arising from negligence law, to ensure Torres Strait Islander peoples are not harmed by the climate crisis.

Now dubbed the Australian Climate Case, the two men are seeking an order from the court that requires the Federal Government to take steps to prevent climate harm from impacting these communities. These steps include cutting greenhouse gas emissions in line with the best available science.

The Rainbow Warrior has arrived in Cairns where Uncle Paul and Uncle Pabai alongside climate litigant Anjali Sharma will board the ship on Monday and sail to Vanuatu.

Cairns is the launchpad for the Rainbow Warrior's tour, which sees the ship return to the Pacific as part of a global campaign to take climate harm to the International Court of Justice, the world's highest court.

Uncle Pabai said this journey is one of friendship.

"We come in friendship and solidarity to meet with Pacific communities and leaders," he said.

"The most important party is that we engage together in sharing our experience of climate change and our cultural ways of connecting together, and that gives us strength."

Uncle Paul praised those who have supported those on Zenadth Kes (Torres Straits) thus far and said this support is what keeps them going.

"The Elders not only on Saibai and Boigu and Badu but people all over Australia have supported us," Uncle Paul said.

"We really need the support from out there from not only us but from wider audiences, Indigenous and non-Indigenous people too.

"That will encourage us...that will keep us strong to take this message across to the government."

Uncle Paul and Uncle Pabai hope to build a bridge between Boigu and Saibai in Zenadth Kes to Vanuatu.

They hope that by working together they can help each other to increase the pressure on the Australian Government, and other countries to take climate action that will protect these communities.