Hawkins finished 19-of-30 for 275 yards as the Buffaloes racked up 634 yards of total offense.
It was the first time the RedHawks have been shut out since a 21-0 loss at Ball State on Nov. 6, 1993.
Hugh Charles rushed for 123 yards, his first 100-yard game since Oct. 14, 2006, against Texas Tech. He also had a 17-yard touchdown.
Brian Lockridge finished with 90 yards rushing, including a 43-yard touchdown in the fourth quarter, and Demetrius Sumler had 91 yards as the Buffaloes rediscovered their ground game. Colorado had 359 yards rushing.
The week before against Florida State, Colorado (2-2, 0-0 Big 12) was held to minus-27 yards rushing on 25 carries.
The Colorado defense held Miami (1-3, 0-1 MAC) to just 139 yards of total offense and six first downs. The RedHawks never drove deeper than the Colorado 38-yard line.
Hawkins threw two first-half touchdowns and ran for another, and Sumler added a 1-yard touchdown run as the Buffaloes built up a 28-0 halftime lead.
The Buffaloes were supposed to get back sophomore linebacker Michael Sipili for the game Saturday, but the university suspended him Friday for the rest of the fall semester for his role in a fight over the summer.
Sipili was arrested in August on suspicion of tackling and punching a CU student in a June dispute. He pleaded guilty to a misdemeanor assault at a September sentencing hearing.
Sipili was originally suspended just three games, and was eligible to return to the team against Miami.
Sophomore defensive tackle Chris Perri, who served a three-game suspension for his role in the fight, played Saturday and had three tackles.
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