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| 1st(1st leg) | NSÍ Runavík | - | ÍF Fuglafjørður | 0:0 (0:0) | ||
| 2nd (2nd leg) | ÍF Fuglafjørður | - | NSÍ Runavík | 2:3 (0:1) | ||
| 1st(1st leg): 23/05/2004 | 2nd (2nd leg): 03/07/2004 | Winner: NSÍ Runavík | ||||
| 1st(1st leg) | VB Vágur | - | HB Tórshavn | 1:1 (1:0) | ||
| 2nd (2nd leg) | HB Tórshavn | - | VB Vágur | 2:0 (1:0) | ||
| 1st(1st leg): 23/05/2004 | 2nd (2nd leg): 03/07/2004 | Winner: HB Tórshavn | ||||
