The country singer, 36, made a statement about the event on his Facebook page.
"With a heavy heart, I'm sad to say that a man passed away last night after stepping out in front of my bus in Indiana," he wrote.
"In all the years I've been touring and all the miles we've driven, nothing prepares you for something like this to happen," Aldean said. "I'm praying for Albert Kennedy's family and friends today and ask that you do the same."
There was no word on what may have caused the accident.