| Your Precious Pet's Names |
| Habib | Hades | Hadrian | Hagan | Hagrid | ||
| Halle | Halley | Halo | Halston | Ham | Hamilton | Hamish |
| Hana | Hanako | Handel | Handsome | Hannah | Hannibal | Hansel |
| Harley | Harlow | Harmony | Harold | Harper | Harpo | Harriet |
| Harry | Harvey | Hawaii | Hawkeye | Hayley | Hazel | Heartbreaker |
| Heather | Hector | Hedda | Hedwig | Heidi | Heilig | Heineken |
| Helena | Heloise | Hemlock | Hendrix | Henna | Henri | Henrietta |
| Herbal | Herbert | Herbie | Hercules | Herman | Hermes | Hermione |
| Herringbone | Hershey | Higgins | Highness | Hilary | Hilton | Hipparcus |
| Hiroshi | Hissy | Hissy Fit | Hitchcock | Hjaimar | Hobbes | Hobbit |
| Hobknob | Hobo | Hogan | Holden | Holly | Hollywood | Hombre |
| Honda | Honey | Hooch | Hoot | Hoover | Hope | Hoppity |
| Horace | Horatio | Hoshi | Hoss | Hossa | Hotdog | Hotlips |
| Houston | Howard | Howie | Howly | Huckleberry | Hudson | Huey |
| Hugh | Hugo | Hugs | Hulbert | Hulda | Humberto | Hume |
| Hund | Hunter | Hurley | Hurricane | Husky | Hutch | Hydro |