However, Ms Ardern has taken issue with a few recent deportations and wants Mr Morrison to ensure they're not just sending more problems to New Zealand.
The Australian government has cancelled the visas of 2,633 New Zealand nationals on character grounds over the past five years.
"If somebody has never shown any interest in becoming a citizen of Australia and they commit criminal activities, why shouldn't we deport them?" That is their home.
Australian Prime Minister Scott Morrison speaks during a state memorial honouring victims of the Australian bushfires at Qudos Bank Arena in Sydney, Australia, February 23, 2020.
She made a direct question to Morrison as he stood beside her: "Do not deport your people and your problems".
The two countries have fought in numerous conflicts alongside each other, and squabbles between the two rarely break-out beyond playful, light-hearted banter over sport and culture.
Morrison acknowledged the more than 400 New Zealanders who helped with the fires, saying it was a display of "pure Anzac spirit".
The 51-year-old Australian staunchly refused to change his government's policies - which are hugely popular with his conservative base - insisting anyone who "doesn't hold the title of "citizen of Australia" does not get a special deal".
She urged Australia to adopt New Zealand's approach to foreign criminals by stop deporting New Zealand citizens "who on any common sense test identify as Australians".
Ardern did not mince her words. "The issue is extremely sensitive back home, so giving Australia a kick in the ribs can't hurt at all", said Peter Chen, a political science professor at University of Sydney. "We ask that Australia stops exporting theirs", she added.
But Ardern said these policies were having a "corrosive" impact on the two countries' relationship.
She directly criticised Morrison - who was standing right next to her - over his Government's policies; namely, the way Kiwis are treated by the Australian Government as well as Morrison's deportation policy.
"We have a simple request: Send back Kiwis - genuine Kiwis", Arden said.
The NZ leader conceded that of the people who had been deported, some should face the consequences of their actions, but some she said were too young to become criminals before they crossed the Tasman.
Before domestic New Zealand politics, Ardern worked in London as a senior policy adviser in an 80-person unit of then-British Prime Minister Tony Blair.
He mentioned it being almost a year since the Christchurch mosque attacks and what the countries had been through since with the Whakaari/White Island eruption and now being in the midst of the Covid-19 coronavirus outbreak.