| Registered Name | Owner / Club | Status |
|---|---|---|
| Hosianna (SWB) | Vincent Neville Dunamase | Approved |
| Hoss | PAUL MARSHALL Tinahely | Approved |
| Hot Heels | Kelly Ann McKay Barnacarroll | Approved |
| Hot Jameson | John Kearney Warrington | Approved |
| Hot N Spicy | Maria Kenny Clonough | Approved |
| Houdini | Barry Lambert Carne | Approved |
| Houdini Browne | Catherine O'Leary Killcarrick | Approved |
| Houdini Z | Margo Phelan Annaharvey | Approved |
| House of Fun | Hannah Walsh Abbeylands | Approved |
| How You Keeping (IRE) | Aoife Crosby Carne | Approved |
| How's Jack | HELEN QUINN Piltown | Approved |
| HRH Queen Charlotte | Rory O'Sullivan Hennessy Warrington | Approved |
| Hs Sea The Stars | Lena Richter Castle Hill | Approved |
| HSB Limited Edition | Emily Sayers Rock of Cashel | Approved |
| HSC Glenvarna | Ben Johnston Nephin | Approved |