Byrd's second interception of the game set up Rian Lindell's 25-yard field goal 3:50 into overtime that gave the Buffalo Bills a 19-16 victory over the Cardinals on Sunday.
Byrd picked off a pass from John Skelton, who had replaced the injured Kevin Kolb, and returned it 29 yards to the Arizona 6 to set up the winning kick.
Arizona's Jay Feely made a franchise-record 61-yard field goal with 1:09 left in regulation to tie it 16-16. But his 38-yard attempt to win it as the fourth quarter was tipped by Buffalo's Alex Carrington and careened off the left upright.
The Cardinals (4-2) lost their second in a row after a 4-0 start. The Bills (3-3) won after allowing 1,201 yards and 97 points in their previous two games.
The Cardinals went into overtime for the sixth time in their last nine home games and had won all of them until Sunday.
It looked like another stunning Arizona comeback when Feely, whose previous long was 55, nailed the 61-yarder, the third 60-yard plus kick in the league this season -- an NFL record.
The big kick came moments after Kolb, whose scrambles had been the biggest plays for Arizona's as-usual sputtering offense, was hit for his fifth sack and left with a rib and chest injury.