Apple says it has sold a record nine million iPhones in the three days after launching two new versions of the smartphone.
"This is our best iPhone launch yet - more than nine million new iPhones sold - new record for first weekend sales," said Apple chief executive Tim Cook in a statement.
Apple said demand has exceeded the supply for the new handsets, and that some customers will have to wait.
"The demand for the new iPhones has been incredible, and while we've sold out of our initial supply of iPhone 5S, stores continue to receive new iPhone shipments regularly," Cook said.
"We appreciate everyone's patience and are working hard to build enough new iPhones for everyone."
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Apple began worldwide sales Friday of the high-end iPhone 5S and a lower-cost iPhone 5C, drawing crowds from Australia to Tokyo to Paris to New York.
Apple also said more than 200 million of its smartphones and tablets are now running the redesigned operating system iOS 7, "making it the fastest software upgrade in history."
However German hackers say they have already been able to get past the new biometric identification system contained in the latest generation of the smartphones.
On its website, the Chaos Computer Club (CCC) said that by using "the simplest, everyday means", it had hacked into the new finger-print identification system on Apple's latest iPhone models launched last week.
"The phone owner's finger print, photographed from a drinking glass, was sufficient to create a forged print to unlock the iPhone 5S", the hackers said.
"It again proves a biometric identification system using finger prints is not appropriate to guard access to a phone and should be avoided," the CCC said.
They recommended using a normal password to lock and unlock the phone.
