Apple is carrying out free repairs on what it says is a "small percentage" of iPhone 11s that have defective screens.
People who have already paid to have the issue fixed could get a refund, too.
A page on Apple's website has been set up to input the serial number of an iPhone 11 to see if it qualifies for the free service.
"Apple has determined that a small percentage of iPhone 11 displays may stop responding to touch due to an issue with the display module. Affected devices were manufactured between November 2019 and May 2020," the company says on its website.
"If your iPhone 11 has been exhibiting this issue, please use the serial number checker to see if your device is eligible for this programme. If so, Apple or an Apple Authorised Service Provider will provide service, free of charge.
"If you believe your iPhone 11 was affected by this issue, and you paid to repair your device, you can contact Apple about a refund."
The repair programme will cover affected iPhone 11 devices for a two year period following their original retail sale.
The news comes a week after Apple was fined €10 million (NZ$17 million) by Italian authorities over what were ruled misleading claims about the water resistance of various iPhone models.