Despite their overtime success, the Bears were among the 28 teams that approved an overtime rule change for the postseason.
The rule now prohibits the team winning the coin flip in overtime from winning the game with a field goal on its initial possession. If they successfully kick a field goal, the other team would have an opportunity to possess the ball.
The Minnesota Vikings, Buffalo Bills, Cincinnati Bengals and the Baltimore Ravens voted against the rule change. The rule needed 24 votes to pass.
New York Giants co-owner John Mara said he was not optimistic about the measure passing, when he arrived in Orlando because "we've been down this path before and have failed."
But he said the owners built some momentum and decided to vote Tuesday instead of Wednesday, a decision that irked some coaches, including Sean Payton of the New Orleans Saints.
Mara jokingly said, "I think the feeling was, 'Let's get the vote done now before the coaches and everybody else can come in there and screw it up.' "
There's a possibility that owners may vote to extend the rule for the regular season as well, at their meeting in Dallas in May.
"Statistically, it needed to be changed," Atlanta Falcons president Rich McKay said. "It wasn't producing the fairest result, based on the effect of field goal accuracy, distance and drive start."