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There is a smaller and less expensive model costing $1799 for 64GB of storage. The more expensive model has 256GB.
Customers in New Zealand can order the new phones from October 27.
Apple rolled out its much-anticipated iPhone X (10) in Cupertino yesterday. Chief executive Tim Cook called it the biggest leap forward since the original iPhone.
Reuters reported the iPhone X's price raised a few eyebrows. It would retail in the United States for $US999 and in the United Kingdom for 999.
Investors and fans had viewed the 10th anniversary iPhone launch as an opportunity for Apple to refresh a smartphone line-up that had lagged the competition in new features. Last year, the company's revenue fell when many consumers rejected the iPhone 7 as being too similar to the iPhone 6.
The iPhone X has wireless charging, an infrared camera and hardware for facial recognition, which replaces the fingerprint sensor for unlocking the phone. The home button is gone and users instead tap the phone to wake it up.
The screen on the iPhone X is about the size of the current iPhone 7 plus, although the phone is smaller. It features richer colours thanks to a new screen technology called Oled other vendors are also rolling out.
But in an embarrassing moment for Apple senior vice-president Craig Federighi, the face ID unlocking did not work on his first attempt during the on-stage presentation.
Apple also introduced the iPhone 8 and iPhone 8 Plus, which resembled the iPhone 7 line but had a glass back for wireless charging. The company said it was working on a new device, called the Airpad, that would charge all newer Apple products.