Stewart was 18-of-23 passing for 222 yards and threw all three of his scores to Brad Rozner, who finished with eight catches for 130 yards. Walter had 15 carries that included a 34-yard touchdown run.
Stewart threw TD passes from the 30 and 18, and his 34-yarder with 14 seconds left in the second quarter gave the Owls (1-9, 1-5 Conference USA) a 31-14 halftime lead.
Asher O'Hara threw for 338 yards and two touchdown passes and ran for another score for Middle Tennessee (3-7, 2-4).
The Blue Raiders fumbled the ball away on their first play from scrimmage but made it close with O'Hara's 7-yard touchdown run in the third quarter, and O'Hara's 20-yard touchdown pass to Jimmy Marshall with 3:22 remaining.
On the final drive, Rice converted on third-and-11 and chewed up more than three minutes of clock before punting into the Middle Tennessee end zone with 16 seconds remaining.
Swinney, Clemson back up the talk in conference championship
Head coach Dabo Swinney and the Clemson Tigers top UVa in a statement win to lock up their 5th straight ACC Championship.
Justin Fields: Confidence 'biggest part' in Ohio State comeback
Ohio State hadn't faced a double-digit deficit all season before Saturday. Against Wisconsin in the Big Ten championship game, the Buckeyes had to show they could rally.
Galloway, Palmer and Herbstreit unanimously agree LSU should be No. 1
After a dominant performance by Joe Burrow and LSU, Joey Galloway, Jesse Palmer and Kirk Herbstreit agree LSU should take the No.1 spot over Ohio State.
Ohio State uses big second half to win Big Ten
Ohio State trailed Wisconsin 21-7 at halftime, but scores 27 unanswered points to win 34-21.
Craig, Harley lead Austin Peay past Sac St. in FCS playoffs
JaVaughn Craig passed for two touchdowns and ran for another score, Baniko Harley scored two TDs, and Austin Peay beat Sacramento State 42-28 on Saturday in the second round of the FCS playoffs.
Day on CFP No. 1: Don't know what else we can do
Ohio State head coach Ryan Day reacts to the Buckeyes' winning the Big Ten championship and why they should remain the No. 1 team in the College Football Playoff.