Her partner Clarke Gayford, who is the baby's full-time caregiver, sat with the New Zealand delegation and held Neve as Ardern spoke. Ardern, 38, is only the second elected leader to give birth while in office, after Pakistan's Benazir Bhutto in 1990.
Gayford posted a photo on Twitter earlier on Monday of Neve's security pass for the annual gathering of world leaders in New York this week.
He added: "I wish I could have captured the startled look on a Japanese delegation inside UN yesterday who walked into a meeting room in the middle of a nappy change. Great yarn for her 21st (birthday)."
Ardern is her country's youngest premier and the first to take maternity leave while in office.
The United Nations was delighted to see baby Neve in the General Assembly hall, UN spokesman Stephane Dujarric said.