Bryant's 56-yard catch in the first half set up Ezekiel Elliott's one-yard plunge. The receiver caught an eight-yard scoring pass in the fourth quarter after a fumbled punt by Minnesota's Adam Thielen.
Elliott rushed for 86 yards in 20 carries for the Cowboys (11-1). They have the longest single-season winning streak in franchise history.
Dak Prescott completed 12 for 18 passes for 139 yards for Dallas.
Bradford completed 32 of 45 passes for 247 yards, Danielle Hunter had two sacks and
Vikings special teams coordinator Mike Priefer was elevated to head coach for the game and it remains unclear how long Zimmer will be out.
Minnesota's third-ranked defense did their fiery leader proud, holding the explosive Cowboys offense to season lows in points, yards (264) and first downs (13).