Rodgers found Brandon Jackson on a 9-yard scoring pass and Greg Jennings on an 8-yard strike, and Nick Collins ran in a fumble on a Dallas kickoff return to help the Packers jump out out to a 28-7 halftime lead.
Rodgers finished 27-of-34 for 289 yards and no interceptions and Jackson scored both rushing and receiving touchdowns for Green Bay (6-3), which posted its third straight win.
James Jones hauled down eight passes for 123 yards and a score and Jennings finished with seven grabs for 80 yards for the victors, who forced four turnovers and held the Cowboys to 205 yards of total offense.
Jon Kitna completed 19-of-30 passes for 183 yards, one touchdown and two interceptions for Dallas (1-7), which suffered its worst loss of an increasingly lost season.
Swim Week Miami Beach 2014 [PHOTOS]