The incident, broadcast during the weekly nationally televised Monday night game, drew reaction from athletes in other sports.
"The safety of players in all sports is always the most important," said NBA star LeBron James.
"It was a terrible thing to see and I wish nothing but the best for that kid. I am a huge fan of the NFL and football and you never want to see anything like that happen," he added.
The NFL did give any indication of when the game might be continued or replayed.
Both the Bills and Bengals have already secured places in the NFL's playoffs, but the game was important for both teams as they sought to get the number-one seed in the AFC.
That would bring a bye and home field advantage throughout the post-season. The NFL regular season is scheduled to end on Sunday with the playoffs starting the following weekend.