Last updated 18:08, June 23 2018
Jacinda Arderns Mum Laurell Ardern, and Jacinda's cousin Lynn, speak after meeting the new addition to the family for the first time
Prime Minister Jacinda Ardern's mother Laurell says her new granddaughter is sleeping well, with her parents as proud as punch.
Laurell Ardern visited Auckland City Hospital to meet her granddaughter for the first time on Saturday afternoon - where the PM and partner Clarke Gayford are now spending their third night.
They are due to leave for home Sunday morning.
Prime Minister Jacinda Ardern and partner Clarke Gayford pictured with their new arrival.
Proud grandmother Ardern reported the baby girl - whose name is yet to be revealed - has dark hair and dark eyes, and that Gayford was glowing about his new fatherhood.
"There's lots of hair. Lots of dark hair! [Clark] looks very happy and glowing. Yeah, he looks very good," Ardern said.
"[Jacinda] didn't look tired at all. She looked good. So I hope she gets some sleep tonight, but the baby was sleeping well, and I said to her, 'shall I go so you can get some sleep?' and she said she had a little nap this afternoon.
"But she's getting well looked after here. She can't thank the nurses and that enough for looking after her, so that's good.
Jacinda Ardern's father, Ross Ardern, is reportedly visiting on Thursday night.
Laurell with husband Ross. Jacinda's baby is their third grandchild.
The baby reportedly doesn't look like her mother.
"I think there might be a bit of Clarke ... she doesn't look like Jacinda as a baby, because she's more tiny," Laurell Ardern said.
Ardern's cousin Lynn Swney was also visiting and reported the baby was "absolutely adorable".
"It's very exciting".
The baby girl was born on Thursday at 4.45pm at Auckland City Hospital.
Well wishes have since flooded in from around the world, including from Queen Elizabeth II, British Prime Minister Theresa May and pop singer Pink.
Earlier, Ardern's press secretary Andrew Campbell said Ardern and her daughter would remain in hospital until Sunday due to the logistics which would be involved in transferring the pair to nearby Birthcare.
They would leave at 11am to head to their Sandringham home.
Campbell said the family was "in really good spirits" and Ardern and her baby, who he described as "super cute", were both doing well.