| Photo | Name | PSGId | OOP Date | Sex | Descriptors |
|---|
 | Hennessy | slf-n000000843 | Unknown | Female | Gray (Creamino het) |
| Hera | unk-n000000096 | Unknown | Female | Gray |
| Hera | ffr-a000000067 | Unknown | Female | Gray (Creamino het) ~Notes: Garnet eyes~ |
| Herbie | unk-n000001011 | Unknown | Male | ~Notes: Owned by Ernie Richards~ |
| Hercules | unk-n000000216 | Unknown | Male | Mosaic |
| Hero | resa-n000000581 | 01-19-2015 | Male | Strawberry (Cremaino het, low possible platinum het, low possible albino het) |
| Hershey | unk-n000000462 | Unknown | Male | Red series |
| Hesper | psg-n000001073 | 05-01-2020 | Female | Gray |
| Hettie Hall | smc-n000000565 | 05-12-2017 | Female | Red |
| Hidalgo (dalgo) | mgwam-g000000068 | Unknown | Male | Creamino, Mosaic |
 | Hollis | psg-n000000647 | 11-11-2018 | Male | Gray (Low possible leucistic het) |
| Holly | unk-n000000613 | Unknown | Female | Gray |
| Hollywood | elzic-a000000126 | 05-22-2008 | Male | Leucistic |
| Homer | unk-n000000365 | Unknown | Male | Platinum (Creamino het) |
| Honey | unk-n000000087 | Unknown | Female | Gray |
| Honor | hssg-a000000260 | 05-31-2015 | Female | Gray: Black beauty, Black face |
 | Hope | tofro-n000000263 | 09-11-2001 | Female | Gray |
| Horatio | tofro-n000000288 | 06-29-2004 | Male | Leucistic |
| Horris | unk-n000000612 | Unknown | Male | Gray |
| Howie | psg-n000001072 | 06-01-2020 | Male | Albino (50% cremaino het, low possible leucistic and/or platinum het) |
| Total number of listed sugar gliders: | 1424 |