Herkie Walls ran 80 yards to score on an end around, and linebacker Jeff Leiding scored another touchdown and helped shut out Missouri's strong offense as No. 17 Texas won before 76,438 in Austin, Tex., 21-0.
Both quarterbacks, Robert Brewer of Texas and Marlin Adler of Missouri, were sacked repeatedly.
Missouri caught Brewer five times for 32 yards.
Texas (2-0) scored quickly after Missouri's Mike Balota had missed a 31-yard field goal. Walls, a 154-pounder who is a sprinter on the track team, took a reverse handoff and ran 80 yards untouched for Texas' first touchdown with 3:36 remaining in the first quarter. Split end Brent Duhon had a clearing block on Walls' run.
Walls, a 154-pounder, and Duhon, 5 feet 11 and 165 pounds, were the smallest players in the game. Leiding, a 240-pounder, led the Texas defense.
After Raul Allegre had kicked a 45-yard field goal for an apparent 10-0 Longhorn lead, Texas elected to accept a 14-yard penalty for Missouri having 12 players on the field, rather than the field goal.
The penalty pushed the ball to the Missouri 14, but on first down Brewer's pass for Duhon was tipped and intercepted by Missouri linebacker Ken Harlan.
Once again the Texas defense refused to yield and Missouri punted on fourth down.
Missouri (2-1) never got closer to the Texas goal than the 14, and with 2:30 remaining Longhorn defenders chased Adler into the end zone, stripped him of the ball and Ed Williams recovered for Texas' final touchdown.
"It was so good to see our defense come back," Coach Fred Akers of Texas said. "I wouldn't change a thing about that 21-to-zip game.