Speaking in a session on Facebook, Bono said the move was a “drop of megalomania, [a] touch of generosity”.
In response to a questioner who told him it was “rude” to impose their music upon everyone, Bono said: “Oops, I’m sorry about that.”
Apple later released a one-click tool enabling iTunes customers to remove it.
Some users complained that the 11-track Songs of Innocence had been added to their music library without permission and that it was not clear how to delete it.
The questioner on the Facebook session said: “Can you please never release an album on iTunes that automatically downloads to peoples playlists ever again? It’s really rude.”
Bono replied: “I had this beautiful idea and we got carried away with ourselves. Artists are prone to that kind of thing.
“Drop of megalomania, touch of generosity, dash of self-promotion, and deep fear that these songs that we poured our life into over the last few years mightn’t be heard.
“There’s a lot of noise out there. I guess we got a little noisy ourselves to get through it,” he said.
The music was made available for free to more than 500 million iTunes customers in 119 countries last month. It has been reported that around 5% of those have downloaded U2’s latest opus.
At the time, Bono acknowledged that not everyone would appreciate the move.
“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 wrote on the band’s website.
Bono’s apology comes after rock legend Iggy Pop criticized U2 for “giving away music before it can flop, in an effort to stay huge”.
The physical version of Songs of Innocence, including a six-track acoustic session, went on sale on October 13.
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