| Date | Round | Round | H/A | Res. | |||
|---|---|---|---|---|---|---|---|
| 30.07.1958 | Matchday 1 | Matchday 1 | H | ![]() | Raufoss IL | W | 1:0 |
| 03.08.1958 | Matchday 2 | Matchday 2 | A | ![]() | Skeid Fotball | L | 1:6 |
| 17.08.1958 | Matchday 3 | Matchday 3 | H | ![]() | Strømmen IF | D | 1:1 |
| 24.08.1958 | Matchday 4 | Matchday 4 | H | ![]() | SK Freidig | L | 1:5 |
| 07.09.1958 | Matchday 5 | Matchday 5 | A | ![]() | Odd | L | 1:6 |
| 28.09.1958 | Matchday 6 | Matchday 6 | H | ![]() | Larvik Turn og IF | L | 0:7 |
| 12.10.1958 | Matchday 8 | Matchday 8 | A | ![]() | Raufoss IL | L | 0:1 |
| 26.04.1959 | Matchday 7 | Matchday 7 | A | ![]() | LSK | L | 1:3 |
| 03.05.1959 | Matchday 9 | Matchday 9 | H | ![]() | Skeid Fotball | L | 1:2 |
| 06.05.1959 | Matchday 10 | Matchday 10 | A | ![]() | Strømmen IF | D | 2:2 |
| 10.05.1959 | Matchday 11 | Matchday 11 | A | ![]() | SK Freidig | L | 3:8 |
| 24.05.1959 | Matchday 12 | Matchday 12 | H | ![]() | Odd | L | 0:2 |
| 31.05.1959 | Matchday 13 | Matchday 13 | A | ![]() | Larvik Turn og IF | L | 2:10 |
| 07.06.1959 | Matchday 14 | Matchday 14 | H | ![]() | LSK | W | 5:2 |
Kapp IF







