| Halifax Town A.F.C v Swansea Town 02/04/1968 | View match | |
| Crewe Alexandra FC v Swansea Town 06/04/1968 | View match | |
| Swansea Town v Aldershot F.C 13/04/1968 | View match | |
| Rochdale FC v Swansea Town 15/04/1968 | View match | |
| Swansea Town v Rochdale FC 16/04/1968 | View match | |
| Port Vale FC v Swansea Town 20/04/1968 | View match | |
| Swansea Town v Chesterfield FC 23/04/1968 | View match | |
| Swansea Town v Chester City FC 27/04/1968 | View match | |
| Chesterfield FC v Swansea Town 04/05/1968 | View match | |
| Swansea Town v Hartlepool United 06/05/1968 | View match | |
| Swansea Town v Hartlepool United 06/05/1968 | View match | |
| Hartlepool United v Swansea Town 11/05/1968 | View match |