Record: 36-36-0, .500 W-L% (7th of 12) (Schedule and Results)
SRS: -7.51 (10th of 12) ▪ SOS: -7.28 (11th of 12)
Conference Champion: Dartmouth
Ranked in Preseason AP Poll: 0
Ranked in Final AP Poll: 0
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
|---|---|---|---|---|---|---|---|---|
| 1 | Sep 27, 1958 | Sat | Brown | 22 | @ | Columbia | 0 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 2 | Oct 4, 1958 | Sat | Brown | 35 | Yale | 29 | ||
| 3 | Oct 4, 1958 | Sat | Cornell | 21 | Harvard | 14 | ||
| 4 | Oct 4, 1958 | Sat | Dartmouth | 13 | Pennsylvania | 12 | ||
| 5 | Oct 4, 1958 | Sat | Princeton | 43 | Columbia | 8 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 6 | Oct 11, 1958 | Sat | Columbia | 13 | Yale | 0 | ||
| 7 | Oct 11, 1958 | Sat | Dartmouth | 20 | @ | Brown | 0 | |
| 8 | Oct 11, 1958 | Sat | Princeton | 20 | @ | Pennsylvania | 14 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 9 | Oct 18, 1958 | Sat | Cornell | 12 | @ | Yale | 7 | |
| 10 | Oct 18, 1958 | Sat | Harvard | 26 | @ | Columbia | 0 | |
| 11 | Oct 18, 1958 | Sat | Pennsylvania | 21 | Brown | 20 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 12 | Oct 25, 1958 | Sat | Cornell | 34 | Princeton | 8 | ||
| 13 | Oct 25, 1958 | Sat | Harvard | 16 | Dartmouth | 8 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 14 | Nov 1, 1958 | Sat | Cornell | 25 | @ | Columbia | 0 | |
| 15 | Nov 1, 1958 | Sat | Dartmouth | 22 | @ | Yale | 14 | |
| 16 | Nov 1, 1958 | Sat | Pennsylvania | 19 | @ | Harvard | 6 | |
| 17 | Nov 1, 1958 | Sat | Princeton | 28 | Brown | 18 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 18 | Nov 8, 1958 | Sat | Brown | 12 | Cornell | 8 | ||
| 19 | Nov 8, 1958 | Sat | Dartmouth | 38 | Columbia | 0 | ||
| 20 | Nov 8, 1958 | Sat | Pennsylvania | 30 | @ | Yale | 6 | |
| 21 | Nov 8, 1958 | Sat | Princeton | 16 | Harvard | 14 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 22 | Nov 15, 1958 | Sat | Brown | 29 | @ | Harvard | 22 | |
| 23 | Nov 15, 1958 | Sat | Dartmouth | 32 | @ | Cornell | 15 | |
| 24 | Nov 15, 1958 | Sat | Pennsylvania | 42 | Columbia | 0 | ||
| 25 | Nov 15, 1958 | Sat | Princeton | 50 | @ | Yale | 14 | |
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 26 | Nov 22, 1958 | Sat | Dartmouth | 21 | @ | Princeton | 12 | |
| 27 | Nov 22, 1958 | Sat | Harvard | 28 | Yale | 0 | ||
| Rk | Date | Day | Winner/Tie | Pts | Loser/Tie | Pts | Notes | |
| 28 | Nov 27, 1958 | Thu | Cornell | 19 | @ | Pennsylvania | 7 |