Dallas placekicker Dan Bailey drilled five field goals, including two 50-yarders.
Bryant caught 11 passes for 153 yards to push his total to 1,061 yards on the season. Bryant's career high of 1,382 yards was set last season.
Murray continued his strong play of late with 134 yards rushing and a touchdown, but had only seven attempts in the second half. The third-year pro is also closing in on his first 1,000-yard season, needing only 23 yards over the final two weeks.
NOTES: Green Bay was back in Arlington for the first time since winning Super Bowl XLV over Pittsburgh in 2011. ... The win was the Packers' first at Dallas since 1989. … Dallas had never lost a game in which it led by 20-plus points at halftime. … The Cowboys expect to see a backup quarterback for the fourth straight game next week at Washington (Kirk Cousins). … QB Aaron Rodgers headlined the list of Green Bay inactives. … The Cowboys' inactives included MLB Sean Lee, MLB Bruce Carter, CB Morris Claiborne and RS Dwayne Harris. … Cowboys LB Justin Durant returned after missing multiple games with a hamstring injury but left when he re-aggravated the muscle strain.