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Коты
| Haagendaz | Habanero | Haberdasher | Habibe | Habibt | Haboko |
| Hachi-Ko | Hacker | Hacki-Sack | Hade-Na | Hades | Hadji |
| Hadjii | Hadley | Hadron | Hagar | Hahn | Haides |
| Haile | Hailey | Hairball | Hairry | Hairy | Haj |
| Haji | Hajur | Hal | Halaboot | Halc | Halcyon |
| Half | Half-pint | Halfacat | Halfshell | Halibut | Halloween |
| Hallway | Halon | Halsey | Ham | Hambone | Hamelin |
| Hamilcar | Hamilton | Hamish | Hamlet | Hammer | Hammurabi |
| Hammy | Hampton | Han | Hanable | Hancock | Handel |
| Handiman | Handsome | Handspring | Hanes | Hang | Hanibal |
| Hank | Hankock | Hanky | HankyPanky | Hannah | Hannah-Lamb |
| Hannibal | Hans | Hansom | Hantu | Hanuman | Hanzo |
| Hap | Haplo | Har | Haran | Harbor | Hard |
| Hardy | Hariton | Harken | Harlampiy | Harlee | Harlem |
| Harley | Harlow | Harly | Harmi | Harold | Harper |
| Harpo | Harriet | Harrison | Harry | Harvey | Harwood |
| Hasan | Hashish | Hasie | Haskel | Haskell | Haslyn-Shalin |
| Hastings | Hastle | Hatch | Hatcher | Hatim | Haugesund |
| Havoc | Havok | Hawk | Hawkeye | Hawthorne | Hay |
| Hayden | Hazel | Hazelnut | Hazer | Hazle | Hazlenut |
| Hazy | Health | Hearadh | Heart | Heartbreaker | Hearts |
| Heathcliff | Heather | Heavy | Heckabe | Heckle | Hector |
| Hecuba | Hecubbus | Hedgehog | Hedley | Hedwig | Hedy |
| Hegel | Hei | Heidi | Heimao | Heimdall | Heinz |
| Hektor | Hekyll | Helado | Helios | Helix | Hell |
| Hellas | Hellcat | HellCat | Hellion | Hellraiser | Hellweasel |
| Helmut | Heloise | Helper | Helpful | Hemey | Hemingway |
| Hemlock | Hemmingway | Hemsky | Hendrix | Henley | Henna |
| Henoze | Henri | Henrick | Henry | Hepcat | Hephaistas |
| Hepzibah | Herb | Herbal | Herbert | Hercule | Hercules |
| Herdome | Herkimer | Herman | Hermes | Hermie | Hermione |
| Hermit | Hermoine | Hero | Hersey | Hershey | Hertzsprung |
| Hester | Hey-Z | Hi-Cat | Hide-A-Way | Hideaway | Hidyho |
| HieHie | Hieronymous | Hieronymus | Higgens | Higgins | High |
| High-Tech | Highway | Hijo | Hildegard | Hill | Him |
| HimHer | Hincmar | Hincmars | Hini | Hip | Hip-dip-nip |
| Hippo | Hippodrome | Hipster | Hiram | Hiri | His |
| Hit | Hits | Hizanherz | Ho | Hobart | Hobbe |
| Hobbes | Hobbit | Hobbles | Hobbs | Hobgoblin | Hobie-Cat |
| Hobiecat | Hobo | Hobson | Hochimin | Hockey | Hockker |
| Hocus-Pocus | Hodel | Hodge | Hog | Hogan | Holiday |
| Hollandaise | Hollywood | Holmes | Homeboy | Homer | Homere |
| Homey | Homi | Homie | Hon | Honcho | Hondo |
| Honey | Honey-Bun | Honey-Lamb | Honeyboy | Honeybunny | HoneyCat |
| Honeycomb | Honeylamb | HoneyPaws | Honeypuff | Honeysuckle | Honor |
| Hoo | Hooch | Hoochie | Hood | Hoodoo | Hoofman |
| Hook | Hooligan | Hooper | Hoosier | Hoot | Hootch |
| Hooter | Hoover | Hop | Hopei | Hopi | Hopper |
| Hops | Horace | Horatio | Horizon | Horlicks | Horrible |
| Horrid | Horror | Hors | Horshack | Horus | Hoser |
| Hoskins | Hot | Hotpoint | Hotshot | Hotspots | Hotspur |
| HotStuff | House | Houston | Howard | Howl | Howler |
| Howling | Hubba | Hubbard | Hubble | Hubert | Hubertus |
| Huck | Huckeh | Huckelberry | Huckle | Huckleberry | Hucko |
| Hudson | Hugger-Mugger | Huggins | Huggy | Hugh | Hugo |
| Hugs | Hugz | Huh | Hui | Huitzilopochtli | Huixtocihuatl |
| Hulk | Hulkster | Human | Humbert | Humbolt | Humbug |
| Humdinger | Humle | Hummer | Hummingbird | Humperdink | HunBun |
| Hunnybun | Huno | Hunter | Huntley | Hurley | Hurricane |
| Husker | Hutch | Huxley | Hyacinth | Hydrox | Hyper |
| Hyperion | Hytek | Hyzen |
Кошки
| Haar | Haddie | Haida | Haiku | Hair | Hairyet |
| Haiya | Hajja | Hale | Haley | Halle | Halleyween |
| Hallie | Halo | Halolo | Halwa | Hanna | Hannabella |
| Hansel | Happy | Happyface | Hardangervidda | Harimau | Harlequin |
| Harlequinne | Harmonee | Harmony | Harpa | Hase | Hatta |
| Hattie | Hattori | Havana | Havarti | Hawaii | Hay |
| Hayley | Hayley-Baby | Haywire | Hayzzel | Heart | Heath |
| Heathcote | Heathrow | Heaven | Heavengaze | Heavenly | Hecate |
| Hedda | Heebee | Hefty | Heiney | Heiress | Hela |
| Helen | Helena | Helgi | Hello | Hellodolly | Hennessey |
| Henrietta | Henrijean | Her | Hera | Herbie | Hercat |
| Hercula | Here | Heritage | Hermiona | Hershel | Hesche |
| HeShe | Hessie | Hesta | Hestia | Hevea | Hey |
| HeyYou | Hibernia | Hickory | Hidey | Hidy | Highlite |
| Highness | Hijinx | Hijo | Hikari | Hilaria | Hilary |
| Hilda | Hilde | Hilery | Hillary | Hilly | Hindu |
| Hippo | Hiss | Hissy | Historia | Hits | Ho |
| Hoagi | Hoagie | Hobbikat | Hobby | Hobie | Hobie |
| Hobie-Cat | Hodori | Holden | Holley | Hollie | Holly |
| Hollyberry | Holothuroidea | Holy | Holycat | Holy-chloe | Hominy |
| Honda | Honeybee | HoneyCat | Hong-Soo | Hongo | Honky |
| Honky-Tonk | Honolulu | Honora | Honu | Hony | Hoo |
| Hootie | Hope | Hoppity | Hoppy | Horse | Hortencia |
| Hortense | Hoshi | Hotzie | Houdina | Houdini | Houlie |
| Hovis | Howe | Howie | Hrissa | Huey | Huffy |
| Hugga | Hummel | Hummy | Humphrey | Hunka | Hunny |
| Huntress | Husky | Hussy | Hyde | Hydra |