Ben Davis threw for 267 yards and three touchdowns, and also rushed for 36 yards and a touchdown.
Dillon Gonzales rushed for 155 yards and three touchdowns, while also catching four passes for 28 yards.
Bryce Reeves led the Steers receivers with seven receptions for 117 yards and a touchdown.
Reeves received Player of the Game honors from the Q 94.7 radio broadcast, and Derek Sides caught four passes for 79 yards including a 20-yard touchdown reception.
Nick Martin took a short pass from Sides for a 32-yard touchdown reception, and Hunter Baca caught three passes for 29 yards and a touchdown.
Mikey Freeze and Landon Gonzales both reeled in interceptions and the Steers defense was nothing but impenetrable for four entire quarters.
After one quarter of play, the Steers defense had held the inept Bulls to -1 yards of offense.
Bridgeport did manage to do a little better deeper into the game with a "wildcat" type of offense, but with only 103 yards on the night, the Graham defense walked away from a performance they should be proud of.
Graham will begin district play against the Vernon Lions at 7:30 p.m. Friday, Oct. 11, in Vernon.
For a more in-depth look at the Steers win over Bridgeport and the game upcoming game against Vernon, pick up Wednesday's copy of the Graham Leader.