| Augsburg beat Kickers Offenbach 2-1 (H) on 8 Oct 1978 |
| Kickers Offenbach beat SpVgg Fürth 2-1 (A) on 3 Sep 1978 |
| SpVgg Fürth beat Eintracht Trier 2-0 (H) on 9 Aug 1978 |
| Eintracht Trier beat 08 Homburg 3-1 (H) on 30 Jul 1978 |
| 08 Homburg beat Karlsruhe 3-0 (H) on 3 Sep 1978 |
| Karlsruhe beat Wormatia Worms 2-0 (A) on 9 Aug 1978 |
| Wormatia Worms beat SpVgg Bayreuth 2-0 (H) on 10 Sep 1978 |
| SpVgg Bayreuth beat Stuttgarter Kickers 1-0 (A) on 27 Aug 1978 |
| Stuttgarter Kickers beat Waldhof Mannheim 5-3 (A) on 3 Sep 1978 |
| Waldhof Mannheim beat Freiburg 2-0 (A) on 10 Sep 1978 |
| Freiburg beat Saarbrücken 4-3 (H) on 27 Aug 1978 |
| Saarbrücken beat FV Würzburg 04 3-1 (H) on 9 Aug 1978 |
| FV Würzburg 04 beat Freiburger 2-0 (H) on 10 Sep 1978 |
| Freiburger beat MTV Ingolstadt 4-1 (H) on 3 Sep 1978 |
| MTV Ingolstadt beat Hanau 93 3-2 (H) on 10 Sep 1978 |
| Hanau 93 beat FSV Frankfurt 5-1 (H) on 20 Aug 1978 |
| FSV Frankfurt beat Borussia Neunkirchen 3-2 (H) on 3 Sep 1978 |
| Borussia Neunkirchen beat KSV Baunatal 1-0 (H) on 13 Aug 1978 |
| KSV Baunatal beat 1860 München 2-0 (H) on 20 Aug 1978 |
| 1860 München beat Augsburg 4-0 (H) on 13 Aug 1978 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.