| Happy Minnie Mount Mckinkey | ♀ | 2015 | CZ | Marcela Nováková | ČMKU/AKE/329/15 | ♂ Magic Johnson di Casa Hesselink | ♀ Amazing Dream Devil of Highland |
| Happy Tail Rebell Represent | ♂ | 2022 | CZ | Rebell Represent (Kristýna Nozarová Přibylová) | CMKU/AKE/711/22 | ♂ Aero Messi C.J. Cleverly Crazy | ♀ Balistic Shot Rebell Represent |
| Happy Xapatán | ♀ | 2011 | CZ | Jiří Tancer | ČMKU/AKE/181/11 | ♂ Gucci Kelpiebrink | ♀ Arlette Xapatán |
| Harley Xapatán | ♂ | 2011 | CZ | Jiří Tancer | ČMKU/AKE/178/11 | ♂ Gucci Kelpiebrink | ♀ Arlette Xapatán |
| Harmke Kelpiebrink | ♀ | 2021 | NL | – | NHSB3231739 | – | ♀ Morrigan Kelpiebrink |
| Harmonia Nectere Passus Red Radimus | ♀ | 2017 | PL | Red Radimus (Radochna Iłłakowicz) | – | ♂ Corroboree Amaroo | ♀ Cie Cib Ww-17 Ew-18 Pl Uch Pl Juch Ejw Scarlet Avalon Red Radimus |
| Harrison Ford Di Casa Hesselink | ♂ | 2017 | – | – | LO17132420 | ♂ Jarrah Baralga Warrigal | ♀ Magic Trolly Di Casa Hesselink |
| Harry Potter Red Radimus | ♂ | 2017 | PL | Red Radimus (Radochna Iłłakowicz) | – | ♂ Corroboree Amaroo | ♀ Cie Cib Ww-17 Ew-18 Pl Uch Pl Juch Ejw Scarlet Avalon Red Radimus |
| Hasty´s Happiness Dai Muratori | ♀ | 2020 | CZ | Jitka Kubištová | ČMKU/AKE/580/20 | ♂ Corroboree Barwon | ♀ Yacatis Hasty-Daydream |
| Hasty´s Hessie Dai Muratori | ♀ | 2020 | CZ | Jitka Kubištová | ČMKU/AKE/581/20 | ♂ Corroboree Barwon | ♀ Yacatis Hasty-Daydream |
| Hasty´s Highlight Dai Muratori | ♀ | 2020 | CZ | Jitka Kubištová | ČMKU/AKE/582/20 | ♂ Corroboree Barwon | ♀ Yacatis Hasty-Daydream |
| Hasty´s Highspeed Dai Muratori | ♀ | 2020 | CZ | Jitka Kubištová | ČMKU/AKE/583/20 | ♂ Corroboree Barwon | ♀ Yacatis Hasty-Daydream |
| Hasty´s Hope Dai Muratori | ♀ | 2020 | CZ | Jitka Kubištová | ČMKU/AKE/584/20 | ♂ Corroboree Barwon | ♀ Yacatis Hasty-Daydream |
| Have My Heart Te Salutant | ♂ | 2022 | CZ | Lenka Fuksová | ČMKU/AKE/766/22 | ♂ Yaparoos Attunga Yapa | ♀ Desire To Work Te Salutant |
| Hazardous Hunter Mount Mckinkey | ♂ | 2015 | CZ | Marcela Nováková | ČMKU/AKE/326/15 | ♂ Magic Johnson di Casa Hesselink | ♀ Amazing Dream Devil of Highland |
| Healing And Peerless Te Salutant | ♀ | 2022 | CZ | Lenka Fuksová | ČMKU/AKE/769/22 | ♂ Yaparoos Attunga Yapa | ♀ Desire To Work Te Salutant |
| Heart of Gold Rebell Represent | ♀ | 2022 | CZ | Rebell Represent (Kristýna Nozarová Přibylová) | CMKU/AKE/713/22 | ♂ Aero Messi C.J. Cleverly Crazy | ♀ Balistic Shot Rebell Represent |
| Hedwiga Red Radimus | ♀ | 2017 | PL | Red Radimus (Radochna Iłłakowicz) | – | ♂ Corroboree Amaroo | ♀ Cie Cib Ww-17 Ew-18 Pl Uch Pl Juch Ejw Scarlet Avalon Red Radimus |
| Hermiona Granger Red Radimus | ♀ | 2017 | PL | Red Radimus (Radochna Iłłakowicz) | – | ♂ Corroboree Amaroo | ♀ Cie Cib Ww-17 Ew-18 Pl Uch Pl Juch Ejw Scarlet Avalon Red Radimus |
| Heta | ♀ | 2014 | – | – | SPKY/K/187/14N | ♂ Bamba Pop | ♀ Mocca (fi) |