Apple says shoppers snapped up nine million of its newest iPhones since the devices were launched last Friday, and that demand is exceeding supply.
Apple says the two new models gave it its strongest iPhone launch ever. The company began selling the low-cost 5C and top-of-the-line 5S last Friday.
The company says demand for iPhone 5s has exceeded the initial supply, and many online orders are scheduled to be shipped in the coming weeks.
Wall Street hadn't been enthusiastic about the new models, which were unveiled earlier this month.
Apple also said its fourth-quarter revenue will be at the high end of its estimates. The company had projected US$34 billion to US$37 billion in total revenue, and it also said gross margins will be near the high end of its expectations.
FactSet says analysts were forecasting US$36.17 billion in revenue.
Shares of Apple gained US$16.52, or 3.5 per cent, to US$483.93 in midday trading. The Cupertino, California, company's stock had lost about 12 per cent in 2013 and almost one-third of its value over the last year.