| Name | Meaning | Gender | Origin |
|---|
| Grace | after Grace Kelly | Female | |
| Hagar | flight or forsaken | Female | Hebrew |
| Haley | hay field | Female | English |
| Halo | Circle of light surrounding the sun or moon. Luminous ring around the head of religious figures. | Unisex | |
| Hammer | A Hammer | Unisex | Scandinavian |
| Handel | | Male | Hebrew |
| Hank | ruler of an estate | Male | English |
| Harmony | A beautiful blending. Simultaneous sounding of two or more tones, especially chords. Also a pleasing combination of elements in a whole. | Female | Word |
| Harper | Harpist: minstrel.
| Female | English |
| Harrison | Son of Harry Surname.
| Male | English |
| Hector | Tenacious
| Male | Greek |
| Hendrix | | Male | Hebrew |
| Henley | high meadow | Male | English |
| Herbie | From Herbert - Brilliant warrior | Unisex | |
| Holley | Holly | Unisex | English |
| Hondo | | Unisex | Hebrew |
| Horowitz | | Unisex | Hebrew |
| Hubert | bright, shining intellect | Male | |
| Huey | Intelligent | Unisex | English |
| Hugo | Intelligent
| Male | Latinized |
| Hummel | | Unisex | Hebrew |
| Iggy | Latin, fiery | Male | Latin |
| Igor | Scottish variation of Welsh Ifor, lord or English form of Scandinavian Ifar, yew | Male | Russian |
| J.C. | Just Cat | Unisex | |
| Jackson | Son of Jack | Male | English |