| Cultivar Name | Plant Size | Leaf Color | Variegation | Var Color | Origin | Flower Color | Season | Source | Registered |
| 'Haley Elizabeth' | Large | Med-Green | Marginal | White | Unknown | - | - | Tucker, Jeffrey | --NR-- |
| 'Hanja's Beauty' | Large | Dark-Green | Medial | Yellow | Unknown | - | - | Hansen, Jan Hurup | --NR-- |
| 'Hanja's Crazy Mouse' | Small | Blue/Green | Streaked | Yellow | Sport | Light-Purple | July | Hansen, Jan Hurup | --NR-- |
| 'Hanjas Freya' | Medium | Dark-Green | Marginal | White | Unknown | | | Hansen, Jan Hurup | --NR-- |
| 'Hanjas Joy' | Small | Light-Green | Marginal | Yellow | Unknown | | | Hansen, Jan Hurup | --NR-- |
| 'Hannah' | Small | Dark-Green | - | - | Unknown | - | June into July | Schwarz, Jim & Schwarz, Karen | .2014 |
| 'Hans' | Large | Blue/Green | Medial | White | Sport | Pale-Lavender | June into July | Avent, Tony | --NR-- |
| 'Happy Hanna' | Large | Dark-Green | Streaked | White | Unknown | - | - | Schmidt, Bevie | --NR-- |
| 'Harmons' | Small | Med-Green | Marginal | White | Unknown | - | - | Aden, Paul | --NR-- |
| 'Harrison' | Giant | Blue/Green | - | - | Unknown | Pale-Lavender | July | Harrison, Dr Jamison & Ruh, Peter | .1987 |
| 'Hasamona Cynthia Ann' | Medium | Med-Green | Marginal | White | Sport | Pale-Lavender | July into August | Jennings, Dave | --NR-- |
| 'Hasamona Daniel's Delight' | Medium | Light-Green | Streaked | Yellow | Unknown | - | - | Jennings, Dave & Anderson, Jim | --NR-- |
| 'Hawkeye' | Medium | Med-Green | Marginal | Yellow | Sport | Pale-Lavender | June | Maroushek, Lillian | .1999 |
| 'Heather' | Large | Dark-Green | - | - | Unknown | - | August to September | Schwarz, Jim | .2015 |
| 'Heather Hill' | Small | Dark-Green | Marginal | White | Sport | Light-Purple | August to September | Solberg, Robert | .2019 |
| 'Henry the First' | Giant | Med-Green | - | - | Hybrid | Near-White | June into July | Kwick, Charles | .2017 |
| 'Herbert' | Giant | Dark-Green | - | - | Unknown | Near-White | June into July | Zager, Herbert A. & Ruh, Peter | .1996 |
| 'Herbie' | Miniature | Med-Green | Marginal | Creamy White | Hybrid | Light-Purple | July into August | Benedict, Dr Ralph (Herb) | .1995 |
| 'Herbie Rocks' | Small | Med-Green | - | - | Hybrid | Med-Lavender | July into August | Zolock, Steve & Zolock, Sarah | .2005 |
| 'Hercules' | Giant | Blue/Green | - | - | Hybrid | - | July | Goffery, James & Summers, Alex | --NR-- |
| 'Herman's Pride' | Giant | Yellow | - | - | Hybrid | Pale-Lavender | July | Kuk, Bob | .2005 |
| 'Hiawatha' | Small | Med-Green | Streaked | White | Sport | Pale-Lavender | July into August | Malloy, Alex | .2002 |
| 'Hillary' | Medium | Light-Green | - | - | Hybrid | Med-Lavender | July into August | Kwick, Charles | .2017 |
| 'Hippie Herb' | Large | Med-Green | Streaked | Yellow | Unknown | - | - | Benedict, Dr Ralph (Herb) | --NR-- |
| 'Holly's Velvet' | Large | Dark-Green | - | - | Unknown | - | - | Unknown | --NR-- |
| 'Hollywood Yosemite Sam' | Small | Med-Green | Streaked | White | Unknown | | | Krueger, Michael & Krueger, Fran | --NR-- |
| 'Home Run Owen' | - | Med-Green | - | - | Hybrid | - | - | Moore, Jeff | --NR-- |
| 'Honey' | Giant | Med-Green | - | - | Hybrid | Pale-Lavender | July | Savory, Robert | .1977 |
| 'Honeysong Ginko' | Medium | Med-Green | - | - | Sport | Light-Purple | August to September | Summers, Alex | --NR-- |
| 'Hope' | Small | Med-Green | Marginal | Yellow | Sport | Light-Purple | June | Hansen, Hans | .1999 |
| 'Hot Toddy' | Medium | Dark-Green | | | Unknown | Light-Purple | | Ziarek, Ken | --NR-- |
| 'Howie' | Medium | Light-Green | | | Unknown | | | Bennett, Gerry | |
| 'Hutch' | Large | Light-Green | - | - | Hybrid | Near-White | July | Stephens, Ray | .1995 |
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