| Photo | Name | PSGId | OOP Date | Sex | Descriptors |
|---|
 | Hatter | lyg-g000000048 | Unknown | Male | Mosaic (Leucistic het) |
| Havana | psg-n000000117 | 02-24-2018 | Female | Gray |
| Haven | resa-n000000582 | 01-05-2015 | Female | Strawberry (100% platinum or leucistic, 33% possible albino het, garnet eyes) |
| Hawk | daig-a000000162 | 08-01-2002 | Male | Gray (Albino het, 50% Possible het for leucistic) |
| Hazel | ffr-a000000054 | Unknown | Female | Gray (Possible het for champagne) |
| Hazel | tpg-n000000828 | Unknown | Female | Red/Brown Series |
| Hazel | psg-n000000118 | 02-25-2018 | Female | Gray |
| Heartlands Anna | heart-a000000215 | 06-08-2009 | Female | White face (Albino het, Creamino het) |
| Heartlands Joy | heart-a000000213 | Unknown | Female | Creamino |
| Heartlands Promise | jolgl-g000000091 | Unknown | Female | Creamino |
| Heartlands Promise | jolgl-g000000090 | Unknown | Female | Creamino |
| Heartlands Topo | ffr-a000000214 | 03-12-2009 | Male | Creamino (Platinum het) |
| Heather | tofro-n000000886 | 12-15-2005 | Female | White face |
| Hedda | sse-n000000804 | Unknown | Female | Caramel ~Notes: Wild Caught~ |
| Heidi | unk-n000000282 | Unknown | Female | White face |
| Heidi | tpg-n000000982 | Unknown | Female | Mosaic ~Notes: Produces sterile males~ |
| Helena | unk-n000000976 | Unknown | Female | Mosaic ~Notes: Produces sterile males~ |
| Helena | ffr-a000000195 | Unknown | Female | Gray (66% Possible creamino het) |
| Helios | ffr-a000000155 | Unknown | Male | White face (50% Possible creamino het) |
| Henna | psg-n000001023 | 07-01-2019 | Female | Gray (50% Possible leucistic het) |
| Total number of listed sugar gliders: | 1424 |