The New England Patriots were down to their third-string quarterback but pushed the Packers to overtime Sunday before losing 27-24.
It took a 31-yard field goal by veteran kicker Mason Crosby to give Green Bay its third straight win.
Packers running backs did most of the heavy lifting on offense, with Aaron Jones running for 110 yards and AJ Dillon adding 73.
A rookie wide receiver dropped the ball on a sure touchdown pass for the second time this season.
Rashan Gary led the defense with his fifth sack in four games and seven tackles.
Quarterback Aaron Rodgers threw touchdown passes to Romeo Doubs and Robert Tonyan in the second half.
Green Bay plays the first international game in franchise history when it meets the New York Giants next Sunday in London.