| 1 | Sat Aug 30 | at UCLA | W43-10 | 1-0 | 1.000 | Rose Bowl · Pasadena, CA |
| 2 | Sat Sep 6 | vsCal Poly | W63-9 | 2-0 | 1.000 | Rice-Eccles Stadium · Salt Lake City, UT |
| 3 | Sat Sep 13 | atWyoming | W31-6 | 3-0 | 1.000 | Jonah Field at War Memorial Stadium · Laramie, WY |
| 4 | Sat Sep 20 | vs#17Texas Tech | L10-34 | 3-1 | .750 | Rice-Eccles Stadium · Salt Lake City, UT |
| 5 | Sat Sep 27 | atWest Virginia | W48-14 | 4-1 | .800 | Milan Puskar Stadium · Morgantown, WV |
| 6 | Sat Oct 11 | vs#21Arizona St | W42-10 | 5-1 | .833 | Rice-Eccles Stadium · Salt Lake City, UT |
| 7 | Sat Oct 18 | at#15BYU | L21-24 | 5-2 | .714 | LaVell Edwards Stadium · Provo, UT |
| 8 | Sat Oct 25 | vsColorado | W53-7 | 6-2 | .750 | Rice-Eccles Stadium · Salt Lake City, UT |
| 9 | Sat Nov 1 | vs#17Cincinnati | W45-14 | 7-2 | .778 | Rice-Eccles Stadium · Salt Lake City, UT |
| 10 | Sat Nov 15 | atBaylor | W55-28 | 8-2 | .800 | Floyd Casey Stadium · Waco, TX |
| 11 | Sat Nov 22 | vsKansas St | W51-47 | 9-2 | .818 | Rice-Eccles Stadium · Salt Lake City, UT |
| 12 | Fri Nov 28 | atKansas | W31-21 | 10-2 | .833 | David Booth Kansas Memorial Stadium · Lawrence, KS |
