| Points | Players | VS Club | Date | |
|---|---|---|---|---|
| 14 | Ronan O'Gara | England | 06-03-2004 | Match details |
| 12 | Ronan O'Gara | Scotland | 27-03-2004 | Match details |
| 11 | Ronan O'Gara | Wales | 22-02-2004 | Match details |
| 10 | Shane Byrne | Wales | 22-02-2004 | Match details |
| 10 | Brian O'Driscoll | Wales | 22-02-2004 | Match details |
| 10 | Gordon D'Arcy | Scotland | 27-03-2004 | Match details |
| 7 | Ronan O'Gara | France | 14-02-2004 | Match details |
| 5 | Anthony Foley | France | 14-02-2004 | Match details |
| 5 | Tyrone Howe | France | 14-02-2004 | Match details |
| 5 | Anthony Foley | Wales | 22-02-2004 | Match details |
| 5 | Girvan Dempsey | England | 06-03-2004 | Match details |
| 5 | Shane Horgan | Italy | 20-03-2004 | Match details |
| 5 | Malcolm O'Kelly | Italy | 20-03-2004 | Match details |
| 5 | Brian O'Driscoll | Italy | 20-03-2004 | Match details |
| 5 | Geordan Murphy | Scotland | 27-03-2004 | Match details |
| 5 | David Wallace | Scotland | 27-03-2004 | Match details |
| 5 | Peter Stringer | Scotland | 27-03-2004 | Match details |
| 4 | Ronan O'Gara | Italy | 20-03-2004 | Match details |
