Prime Minister Jacinda Ardern and baby Neve arrive in Wellington

Prime Minister Jacinda Ardern has arrived back in Wellington with baby daughter Neve Te Aroha Ardern Gayford and partner Clarke Gayford, as she prepares to return to Parliament.

While Ms Ardern resumed official duties on Thursday following six weeks of maternity leave after the birth of her first child, she was based at her home in Auckland until Saturday.

Arriving at Wellington airport, Ms Ardern posed with music students from Nayland College in Nelson, who performed an impromptu number, which she told the group had put Neve to sleep.

The family will now be living at the Prime Minister's official residence at Premier House for at least the next few weeks as Parliament sits.

"It's nice to be back in Wellington and it's good to be ready to get stuck in. We will spend the afternoon and tomorrow getting Premier House ready for I guess the first time it's probably had a little one there," she said.

In September, Ms Ardern will attend the United Nations General Assembly with baby Neve.

"Just by the virtue of the fact that [Neve] is so young, she will be for instance travelling with me for my first longer extended trip," Ms Ardern told Newshub.

Mr Gayford, who will be Neve's primary caregiver, is already trying to get into the Wellington groove, tweeting on Thursday, "I'm not immune to the chatter, and I feel I need to front foot the fact that yes; I've grown a beard, to fit in, in Wellington."

He also asked for any good craft beer locations. 

On Thursday Speaker of the House Trevor Mallard issued a warning to journalists about filming or photographing Neve at Parliament.

Newshub.