The iPhone X, a dramatically redesigned model released last fall, got rid of the home button and introduced facial-recognition technology to unlock the device.
It was the first mass-market smartphone to demand a $1,000 starting price. Although the iPhone X didn't fulfill analysts' lofty sales expectations, it fared well enough for Apple to up the ante with the bigger model, whose price is expected to unveil Wednesday.
Apple also is expected to release an iPhone with minor updates to last year's $1,000 model and another version made of cheaper materials, including a 6.1-inch LCD screen.
Even so, the cheaper iPhone is still expected to sell for $650 to $750. The cheaper phone also is expected to lose the home button. Price cuts for older models, with the home button, are also likely.
Names for the new devices aren't known. The company may also announce a new smartwatch. Apple didn't comment ahead of Wednesday's event, which is being held at its Cupertino, California, headquarters.
By making more expensive iPhones, Apple has been able to boost its profits despite waning demand as people upgrade phones less frequently. iPhones fetched an average price of $724 during the April-June period, a nearly 20 per cent increase from a year earlier.
Worldwide smartphone sales grew just 2 per cent during that period, according to the research firm Gartner Inc. During the second quarter, which is typically slow for Apple, China's Huawei Technologies surpassed Apple as the second-largest seller of smartphones, based on Gartner's calculations. Samsung remained in the lead.