| Registered Name | Owner / Club | Status |
|---|---|---|
| Harveys Pal | Thomas Gibbons Calliaghstown | Approved |
| Hasenacher Forrest Gump | Danielle Cullen Clonough | Approved |
| Hash Brown (IRE) | Rebecca Hayes Twinfort | Approved |
| Haslemere Rockey | James Kennedy Enniskerry | Approved |
| Haslemere Rose | Eva McGlone Stracomer | Approved |
| Hatton | Michelle Jordan Meath | Approved |
| Hatty Royale | Sharon Guiry Clonmel | Approved |
| Haughmond Midnite Xenia | Michelle Paton Thomastown and District | Approved |
| Haute Couture Jones | Lucy Gregan Moyglare | Approved |
| Have a Brandy | Larry Millar Tara Hill | Approved |
| Haven Supreme | Eva O'Shaughnessy Winterdown | Approved |
| Hawk Ginger Lion | Aisling Harding Killcarrick | Approved |
| Hawthorn Harry | Aoife McLaughlin Westport | Approved |
| Hayesland Sunrise | Emma Roche Carne | Approved |
| Haywood Lad | Yvonne Bolger Barrow Valley | Approved |