The Cougars unveiled a no-huddle offense to throw off the Owls.
BYU's defense limited eventual Heisman Trophy runnerup Paul Palmer to 67 yards rushing, his lowest output of the year.
Highlights for BYU's Jason Buck, the Outland Trophy winner, were chasing down Palmer behind the line of scrimmage and making a key fourth quarter play when he sacked the Owls' quarterback, who was also called for intentional grounding on the play.
Trevor Molini, who earlier had suffered a broken nose, got behind the coverage for a 31-yard TD strike to seal the game.
BYU now 3-1 overall and remained 1-0 in league action.
Source:1987 BYU media guide