"It looks like we will have to do our Tonight Show residency another time — we're one man down," the band said. "Bono has injured his arm in a cycling spill in Central Park and requires some surgery to repair it. We're sure he'll make a full recovery soon, so we'll be back!"
The exact nature of Bono's injury was not immediately clear.
As a result the band said it will have to cancel a weeklong residency that was to start Monday on the Tonight Show Starring Jimmy Fallon.
The accident caps off an eventful week for the U2 frontman.
Berlin airport authorities on Friday said Bono's private plane lost its rear hatch, and two pieces of luggage, as it was coming in for a landing in the German capital. The Irish singer was never in any danger, though he later described the incident as "a bit scary."
Bono was in London on Saturday along with other British rock and pop stars to record a Band Aid charity song to raise money to combat Ebola in Africa, organized by Bob Geldof.
Bono was also among the acts 30 years ago who answered Geldof's call to record Do They Know It's Christmas?, to raise money and awareness to those affected by famine in Ethiopia.