Game
| Rank | Fewest First Downs Allowed (Game) | Opponent | Year |
|---|---|---|---|
| 1 | 0 | Northwestern (La.) State | 1947 |
| 2 | 2 | TCU | 1982 |
| 3 | 4 | at Rice | 1981 |
| 4 | 5 | at Texas A&M | 1962 |
| 5 | at Rice | 1961 | |
| 5 | at Northwestern (La.) State | 1961 | |
| 5 | Tulsa | 1961 |
Season
| Rank | Fewest First Downs Allowed (Season) | Rush/Pass/Penalty | Year |
|---|---|---|---|
| 1 | 104 | 60 rush, 38 pass, 6 penalty | 1951 |
| 2 | 106 | 68 rush, 32 pass, 6 penalty | 1961 |
| 3 | 114 | 68 rush, 41 pass, 5 penalty | 1948 |
| 4 | 117 | 60 rush, 43 pass, 14 penalty | 1964 |
| 5 | 121 | 56 rush, 56 pass, 9 penalty | 1962 |
| 6 | 122 | 81 rush, 32 pass, 9 penalty | 1960 |
| 122 | 86 rush, 28 pass, 8 penalty | 1950 | |
| 8 | 129 | 68 rush, 50 pass, 10 penalty | 1963 |
| 9 | 135 | 61 rush, 68 pass, 6 penalty | 1982 |
| 135 | NA rush, 46 pass, NA penalty | 1947 |
