"This will be my first opportunity to congratulate Prime Minister Morrison in person after his re-election victory."
Morrison and the Liberals defied expectations to win the Australian election in May this year.
They had been behind Labor in every national poll since the second half of 2017.
But Morrison's party won enough votes to form a coalition and remain in Government.
"I will be taking the opportunity to talk about the progress our Coalition Government is making on our plan for a modern New Zealand we can all be proud of – with an economy that is growing and working for everyone while giving us the ability to improve the wellbeing of all New Zealanders and their families," Ardern said.
Last week, National Leader Simon Bridges also met with Morrison where he used the opportunity to pick his brain about National's 2020 election strategy.
Although this is the first time Ardern and Morrison have seen each other since the Aussie election in May, they have met before.
Morrison came over to New Zealand after the March 15 terror attacks to attend the national memorial.
The pair met for the first time in February this year at the annual Australia-New Zealand Leaders' Meeting.
Morrison took over from former Australian Prime Minister Malcolm Turnbull in August last year.
While Ardern is in Australia, Labour Deputy Leader Kelvin Davis will be acting Prime Minister.
Usually, when Ardern is away, such as when she was in France for the Christchurch Call summit in May, Deputy Prime Minister Winston Peters becomes Acting Prime Minister.
However, he will also be out of the country until July 20 where he is meeting with senior White House officials in Washington DC in the US.