While the world leaders have crossed paths before, their meeting in New York will be the first time they will hold official bilateral discussions.
Ms Ardern tonight travels to Japan where she will meet her counterpart Shinzo Abe and attend the All Black's first Rugby World Cup match.
She will then carry on to New York for the UN General Assembly for several days of annual meetings, high-level speeches and media appearances.
In a statement, Ms Ardern confirmed she would hold a bilateral meeting with Mr Trump on Tuesday, September 24 (NZ time).
"I'm looking forward to discussing a wide range of international and regional issues with President Trump, including our cooperation in the Pacific and the trade relationship between our countries.
"The US is a key security partner for New Zealand, and an important trading partner. Two-way trade is over $18 billion, and there is strong support from the New Zealand business community to further strengthen our trade and economic ties."
Ms Ardern has previously met with Mr Trump informally on the sidelines of APEC and at a US reception in New York last year.
At the time, Mr Trump congratulated Ms Ardern on the birth of her daughter, Neve, and she acknowledged the work he was doing on the Korean Peninsula.
Ms Ardern also used the opportunity to promote the work of New Zealand and US officials on the lifting of steel and aluminium tariffs.
She later addressed the UN in which she spoke of the importance of a multilateral and international rules-based system in direct contrast to Mr Trump's "America First" message.
The Prime Minister also spoke with Mr Trump on the phone following the Christchurch mosque terror attack on 15 March and requested he show "sympathy and love for all Muslim communities".
Ms Ardern is expected to meet with a range of world leaders and tech company representatives during her visit to New York.
"I'll also continue New Zealand's leadership on the Christchurch Call to Action to eliminate terrorist and violent extremist content online," she said in a statement.
"A stock take on the progress made by countries, technology companies and civil society on the Christchurch Call will help to ensure we maintain momentum on the next steps."
Deputy Prime Minister Winston Peters will be Acting Prime Minister while Ms Ardern is overseas.
