Millane was visiting Auckland – and was reported missing on 2 December after she failed to respond to birthday messages from her family.
The 22-year-old from Wickford, Essex, was found dead on 8 December.
A 27-year-old man has denied killing her – and will go trial in Auckland later this year.
A name suppression order against identifying the man, put in place after a High Court hearing earlier this week, has been upheld.
Millane’s father, David Millane, spent time in New Zealand after the discovery of her body.
“Grace was not born here and only managed to stay a few weeks, but you have taken her to your hearts and in some small way she will forever be a Kiwi,” he said.
“We all hope that what has happened to Grace will not deter even one person from venturing out into the world.”