| 1. Round | 16/08/1978 | TJ Spartak TAZ Trnava | - | TJ VSS Košice | 1:1 | ||||
| 3. Round | 23/08/1978 | TJ Spartak TAZ Trnava | - | TJ Jednota Trenčín | 2:0 | ||||
| 4. Round | 03/09/1978 | TJ Baník Ostrava OKD | - | TJ Spartak TAZ Trnava | 2:2 | ||||
| 5. Round | 17/09/1978 | TJ Spartak TAZ Trnava | - | TJ Tatran Prešov | 0:0 | ||||
| 6. Round | 24/09/1978 | TJ Internacionál Slovnaft Bratislava | - | TJ Spartak TAZ Trnava | 1:1 | ||||
| 7. Round | 07/10/1978 | TJ Spartak TAZ Trnava | - | ASVS Dukla Praha | 0:0 | ||||
| 9. Round | 22/10/1978 | TJ Spartak TAZ Trnava | - | TJ Sparta ČKD Praha | 1:1 | ||||
| 10. Round | 29/10/1978 | TJ Spartak TAZ Trnava | - | TJ Škoda Plzeň | 2:0 | ||||
| 12. Round | 11/11/1978 | TJ Spartak TAZ Trnava | - | TJ Bohemians ČKD Praha | 1:1 | ||||
| 15. Round | 03/12/1978 | SK Slavia Praha IPS | - | TJ Spartak TAZ Trnava | 2:2 |  |
Slovakia