Kings of Leon were en route to their hotel after a show in Boston when a pedestrian jumped in front of the vehicle, the group said in a statement.
The bus had to “stop short” and Nathan Followill suffered broken ribs.
Refunds were offered for fans who had tickets to Sunday’s show in Saratoga Springs, New York.
The band’s statement said Nathan Followill was being treated for his injuries but “was doing well”.
Kings of Leon are next due to perform on Tuesday on The Tonight Show with Jimmy Fallon on the NBC network, followed by another concert in Wentaugh, New York, at the Jones Beach Theatre on Wednesday.
The band’s North American leg of their Mechanical Bull Tour is due to head south in October with dates in Mexico and Brazil.
Kings of Leon that formed in 1999 in Nashville, Tennessee, is made up of brothers, Caleb, Nathan and Jared Followill and their cousin, Cameron Followill.
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