| Name | Meaning | Gender | Origin |
|---|
| Gris | Grey. | Unisex | |
| Gris-Gris | | Unisex | |
| Grizabella | | Unisex | Hebrew |
| Grunt | To utter a deep, guttural sound. | Unisex | |
| Guinness | Brand of stout beer from Ireland. | Unisex | |
| Gus | From Gustave - Staff of the Goths | Male | English |
| Guster | | Unisex | Hebrew |
| Gypsy | Wanderer
| Female | English |
| Hades | World of the dead or hell. | Male | |
| Hagrid | | Male | Hebrew |
| Haley | hay field | Female | English |
| Halo | Circle of light surrounding the sun or moon. Luminous ring around the head of religious figures. | Unisex | |
| Hamilton | after the american politician Alexander Hamilton | Male | English |
| Hammy | | Unisex | Hebrew |
| Han | Gift From God | Unisex | German |
| Hannibal | grace of Baal, god of fertility and fortune | Male | Punic |
| Happy | Showing satisfaction or joy | Female | English |
| Harley | Old English for Army Meadow. From the hare meadow | Female | English |
| Harlo | | Female | |
| 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 |
| Harriet | estate ruler | Female | English |
| Harrison | Son of Harry Surname.
| Male | English |
| Harry | estate ruler | Male | English |
| Harry | estate ruler | Male | English |