John Stallworth victimized the Cowboys for two first-half touchdowns.(AP)
Terry Bradshaw passed for a record four touchdowns to lead the Steelers to victory. The Steelers became the first team to win three Super Bowls, mostly because of Bradshaw's accurate arm.
Bradshaw, voted the game's most valuable player, completed 17 of 30 passes for 318 yards, a personal high. Four of those passes went for touchdowns – two to John Stallworth and the third, with 26 seconds remaining in the second period, to Rocky Bleier for a 21-14 halftime lead.
The Cowboys scored twice before intermission on Roger Staubach's 39-yard pass to Tony Hill and a 37-yard fumble return by linebacker Mike Hegman, who stole the ball from Bradshaw.
The Steelers broke open the contest with two touchdowns in a span of 19 seconds midway through the final period.
Franco Harris rambled 22 yards up the middle to give the Steelers a 28-17 lead with 7:10 left. Pittsburgh got the ball right back when Randy White fumbled the kickoff and Dennis Winston recovered for the Steelers. On first down, Bradshaw fired his fourth touchdown pass, an 18-yard pass to Lynn Swann to boost the Steelers' lead to 35-17 with 6:51 to play.
The Cowboys refused to let the Steelers run away with the contest. Staubach connected with Billy Joe DuPree on a 7-yard scoring pass with 2:23 left.
Then the Cowboys recovered an onside kick and Staubach took them in for another score, passing four yards to Butch Johnson with 22 seconds remaining.
Bleier recovered another onside kick with 17 seconds left to seal the victory for the Steelers.