| Cultivar Name | Plant Size | Leaf Color | Variegation | Var Color | Origin | Season | Source | Registered |
| 'Hadspen Hawk Streaked' | Medium | Blue/Green | Streaked | Yellow | Nat-Sport | August to September | Unknown | --NR-- |
| 'Hadspen Mystique' | Large | Dark-Green | | - | Hybrid | August to September | Smith, Eric & Ruh, Peter & Jean | .2003 |
| 'Hakuyo Nishiki' | Medium | Med-Green | Streaked | White | Nat-Sport | August to September | Unknown | --NR-- |
| 'Hanazawa Fukurin Mizu' | Small | Med-Green | Marginal | White | Nat-Sport | September to October | Unknown | --NR-- |
| 'Happy Birthday, Mr. President' | Medium | Med-Green | Streaked | White | Nat-Sport | September | Zilis, Mark | .2010 |
| 'Haru Kaori' | Medium | Dark-Green | | - | Nat-Sport | August to September | Unknown | --NR-- |
| 'Harushoku' | Medium | Dark-Green | | - | Nat-Sport | August to September | Unknown | --NR-- |
| 'Harvest Dandy' | Large | Med-Green | | - | Hybrid | September | Summers, Alex & Ruh, Peter | .1997 |
| 'Harvest Dawn' | Small | Dark-Green | | - | Hybrid | August to September | Summers, Alex & Ruh, Peter | .1997 |
| 'Heather' | Large | Dark-Green | | - | Unknown | August to September | Schwarz, Jim | .2015 |
| 'Heather Hill' | Small | Dark-Green | Marginal | White | Nat-Sport | August to September | Heather Hill Gardens | --NR-- |
| 'Heaven on Earth' | Medium | Light-Green | | - | Unknown | August to September | Asch, Stuart | .2009 |
| 'Hideko Tajima' | Small | Med-Green | Streaked | White | Hybrid | September to October | Benedict, Dr Ralph (Herb) | .2014 |
| 'High Diver' | Medium | Dark-Green | Marginal | Yellow | Unknown | August to September | Van Ostrand, John | .2005 |
| 'High Radiation' | Medium | Med-Green | | - | Unknown | August to September | Lydell, Ransom & Walek, Kevin | .2009 |
| 'Hikosan' | Medium | Dark-Green | Medial | Yellow | Nat-Sport | August to September | Kumagae, Toshikuni | --NR-- |
| 'Hillbilly Blues' | Large | Blue/Green | | - | Hybrid | September | Avent, Tony | .1999 |
| 'Hime Urajiro Hyaga' | Miniature | Med-Green | | - | Nat-Sport | August to September | Unknown | --NR-- |
| 'Hirao Monument' | Medium | Light-Green | | - | Hybrid | September | Hirao, Shuichi & Ruh, Peter | .1997 |
| 'Hirao Splendor' | Medium | Med-Green | | - | Unknown | September | Hirao, Shuichi & Ruh, Peter | .1997 |
| 'Holar Black Swan' | Large | Light-Green | | - | Hybrid | August to September | Van Keer, Ronny | --NR-- |
| 'Honey Hill Blue Blood' | Large | Blue/Green | | - | Unknown | August to September | Erb, Marsha Axmear | .2003 |
| 'Honey Hill Bubble Up' | Large | Dark-Green | | - | Unknown | August to September | Erb, Marsha Axmear | .2003 |
| 'Honey Hill Piece o' Pie' | Large | Blue/Green | | - | Unknown | August to September | Erb, Marsha Axmear | .2003 |
| 'Honeysong Ginko' | Medium | Med-Green | | - | Nat-Sport | August to September | Summers, Alex | --NR-- |
| 'Hula Skirt' | Medium | Yellow | | - | Nat-Sport | August to September | Zilis, Mark & Schwarz, Jim | .2015 |
| 'Hyugabotan' | Medium | Med-Green | | - | Unknown | August to September | Unknown | --NR-- |
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