| Red Star beat Nantes 1-0 (A) on 1 Dec 1968 |
| Nantes beat SC Bastia 3-0 (H) on 17 Nov 1968 |
| SC Bastia beat Strasbourg 2-1 (H) on 7 Sep 1968 |
| Strasbourg beat Ajaccio 3-0 (H) on 25 Oct 1968 |
| Ajaccio beat Monaco 4-3 (H) on 1 Sep 1968 |
| Monaco beat Marseille 1-0 (A) on 15 Sep 1968 |
| Marseille beat Sedan 4-1 (H) on 28 Sep 1968 |
| Sedan beat Nice 2-1 (H) on 21 Sep 1968 |
| Nice beat Olympique Lyonnais 2-1 (H) on 13 Sep 1968 |
| Olympique Lyonnais beat Saint Étienne 1-0 (A) on 20 Oct 1968 |
| Saint Étienne beat Valenciennes Anzin 4-0 (H) on 6 Oct 1968 |
| Valenciennes Anzin beat Rennes 2-1 (A) on 10 Nov 1968 |
| Rennes beat Nîmes 1-0 (H) on 3 Sep 1968 |
| Nîmes beat Sochaux 3-1 (H) on 10 Nov 1968 |
| Sochaux beat Metz 5-2 (H) on 17 Nov 1968 |
| Metz beat Rouen 7-3 (H) on 7 Sep 1968 |
| Rouen beat Bordeaux 2-1 (H) on 14 Sep 1968 |
| Bordeaux beat Red Star 2-1 (A) on 25 Oct 1968 |
HWC: Thick arrows show the earliest chain of wins that passes through every team and returns to its start.