| Registered Name | Owner / Club | Status |
|---|---|---|
| Hello T Jay | Helen Turnbull Castle Leslie | Approved |
| Helluvaguy | Karen MacGrath Sarsfield | Approved |
| Helpisontheway (IRE) | Cathy Sayers Drynam | Approved |
| Heno | Aileen Byrne Oakleaf | Approved |
| Henry Colin Diamond Lad | Tony Wilson Carne | Approved |
| Henry Dodd | Beth Ryan Newpark | Approved |
| Henry High Flyer | Sarah Twaddell Killeek | Approved |
| Henry Jones Junior | Leonie O'Gorman Mullaghmore | Approved |
| Henry Striker | Mary Doyle Mill Road | Approved |
| Henrys Ark | Andrew Mc Cormack Kilrainy | Approved |
| Her Ladyship | Ailish Ryan Mo Chara | Approved |
| Hera | Sophie Saveroche Tara Hill | Approved |
| Herald of Milltown | Hilary MacHugh Hollybrook | Approved |
| Herb | Naomi Shairp Thomastown and District | Approved |
| Hercules | Fiona Wood Golden Grove | Approved |