The move comes after the company received complaints from users who were surprised to discover that the album has been automatically downloaded for their mobile devices.
Apple then decided to create a way for users to remove the album with a simple click of a button.
"Some customers asked for the ability to delete 'Songs of Innocence' from their library, so we set up itunes.com/soi-remove to let them easily do so," Apple spokesperson Adam Howorth said.
"Any customer that needs additional help should contact AppleCare," he added.
Upon clicking on the link, users will be directed to a simple-looking page featuring the cover of the Irish rock band's album, according to Tech Crunch.
"Once the album has been removed from your account, it will no longer be available for you to download as a previous purchase," Apple stated on the removal site.
"If you later decide you want the album, you will need to get it again," the company added. "The album is free to everyone until Oct. 13, 2014 and will be available for purchase after that date."
"Songs of Innocence" is the 13th studio album from U2. During the Sept. 9 event for the launch of the iPhone 6 and Watch, Apple revealed that the album was automatically downloaded into the iTunes accounts of over 500 million users.
After the event, U2 vocalist Bono acknowledged the fact that not everyone will appreciate their music and Apple's giveaway.
"People who haven't heard our music, or weren't remotely interested, might play us for the first time because we're in their library," Bono wrote on U2's website.
"And for the people out there who have no interest in checking us out, look at it this way...the blood, sweat and tears of some Irish guys are in your junk mail," he added.
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