The first win of the season for the Cowboys netted the first award of the season.
It's the fourth time in his career that Ware picked up the award.
It was the fifth time Ware reached his career high of three sacks.
Ware is now tied with Randy White for the third-most multi-sack games in Cowboys history with 14.
Ware has 68.5 career sacks, with 29 on third down.