The quintet had been scheduled to perform in Saratoga Springs, New York, on Sunday night but an accident following the Saturday concert at the Xfinity Center in Mansfield, Massachusetts, sidelined those plans.
"The band was en route to their hotel after their show in Boston when a pedestrian jumped in front of their tour bus, causing the bus to stop short, injuring Nathan Followill," read a message Sunday from the group's website.
"Nathan is being treated for broken ribs, but is doing well," the post continued.
Followill addressed his fans on Twitter Sunday, showing his gratitude for their support.
"Thank you for all the get well soons," he wrote, "I'm a little banged up but will be back better than ever."
Kings of Leon is slated to perform Tuesday on NBC's "The Tonight Show Starring Jimmy Fallon."
The band's next tour date is scheduled for Wednesday at the Jones Beach Theater in Wantagh, New York.