Record: 35-26-0, .574 W-L% (4th of 12) (Schedule and Results)
SRS: -0.73 (7th of 12) ▪ SOS: -4.86 (9th of 12)
Conference Champion: Texas-El Paso
Ranked in Preseason AP Poll: 0
Ranked in Final AP Poll: 0
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
|---|---|---|---|---|---|---|---|---|
| 1 | Oct 6, 1956 | Sat | Arizona State | 28 | @ | New Mexico State | 7 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 2 | Oct 13, 1956 | Sat | Texas-El Paso | 28 | Arizona | 6 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 3 | Oct 20, 1956 | Sat | Arizona State | 26 | @ | Hardin-Simmons | 13 | |
| 4 | Oct 20, 1956 | Sat | West Texas A&M | 45 | New Mexico State | 0 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 5 | Oct 27, 1956 | Sat | Texas-El Paso | 51 | @ | New Mexico State | 7 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 6 | Nov 3, 1956 | Sat | Arizona | 20 | West Texas A&M | 13 | ||
| 7 | Nov 3, 1956 | Sat | Texas-El Paso | 51 | Hardin-Simmons | 13 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 8 | Nov 10, 1956 | Sat | Texas-El Paso | 28 | @ | Arizona State | 0 | |
| 9 | Nov 10, 1956 | Sat | West Texas A&M | 20 | @ | Hardin-Simmons | 6 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 10 | Nov 17, 1956 | Sat | Arizona State | 20 | @ | Arizona | 0 | |
| 11 | Nov 17, 1956 | Sat | Texas-El Paso | 16 | @ | West Texas A&M | 13 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 12 | Nov 24, 1956 | Sat | Hardin-Simmons | 38 | @ | New Mexico State | 19 |