Grace Millane, 22, died while travelling overseas, found in bushland about 30 feet from a highway outside Auckland after her family raised the alarm after failing to hear from her as usual.
Police said they detained a 26-year-old man seen with her on the night of her disappearance, and will charge him Monday with Millane's murder.
Grace Millane, 22, last seen entering an inner-city hotel in Auckland with a man has been found murdered in Auckland, Newzealand.
He was speaking during the first court appearance of the man accused of her murder.
Detective Inspector Scott Beard said the body had been found around 10 metres off Scenic Drive, a road that runs through the western outskirts of Auckland.
"Obviously, this brings the search for Grace to an end", Beard said.
Judge Thomas acknowledged the Millane family, who were present in court, and said he recognised the vast grief they must be feeling.
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Her father, David Millane, arrived in New Zealand on Friday, and made an emotional public appeal for help in finding Grace, who he described as a "lovely, outgoing, fun-loving, family-orientated daughter".
Beard said Millane had been out of contact with her parents for days and they were especially anxious that they could not reach her Sunday for her 22nd birthday.
He said Kiwis are shocked and horrified when something like this happens which shows that New Zealand is a safe country. The father had traveled from Britain to New Zealand earlier in the week.
I don't know what we say to you at this time.
Masses in Millane's memory were planned for Sunday morning (UK time) where churchgoers would be "praying for her and her family".
She was last seen on the evening of Saturday 1 December.
Police are questioning Ms Millane's suspected Tinder date over her murder, The Sun reports.
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Police have appealed for sightings of the vehicle in the west Auckland area between 6.30am and 9.30am on Monday.
Since news broke that Millane's body had been recovered, support for her family has been swelling around the world.
He added that Ms Millane's family had been informed.
"She arrived here on the 20th of November, and has been bombarding us with numerous photographs and messages of her adventures", Millane said.
She was on a yearlong worldwide overseas experience, he said.
Detectives were also still searching for some of Millane's belongings, including her passport, a pale pink Casio Baby-G watch and a silver necklace with a green stone in the middle, which were missing from the Base Backpacker hostel where she was staying. The man was not taken into custody and police said there was no evidence of foul play.
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