| HOCKMAN | Grant | |
| HADDOX | Bernalillo | |
| HAMAM / HAMAN | Chaves | |
| HAMBY | Catron | |
| HALE | Lincoln | |
| HALL | Curry | |
| HALL | Roosevelt | |
| HALSELL | Catron | |
| HARDIN | Lea | |
|
HARE |
Lincoln | |
| HARRINGTON | Chaves | |
| HARTLEY | Harding | |
| HARWOOD | Bernalillo | |
| HARWOOD | Mora | |
| HAYS | Santa Fe | |
| HAYTER | Curry | |
| HAYTER | Roosevelt | |
| HAZZARD | Curry | |
| HENDRICKSON | San Juan | |
|
HENLEY |
Lincoln | |
|
HENLEY |
Lincoln | |
|
HENLEY |
state wide | |
| HEPBURN | Mora | |
| HERNANDEZ | Rio Arriba | |
| HERREN | Luna | |
| HERRERA | Lincoln | |
| HERRERA | Mora | |
| HERRERA | Colfax | |
|
HERRERA |
Lincoln | |
|
HERRERA |
Lincoln | |
| HERRERA | Lincoln | |
| HERRERA | Rio Arriba | |
| HERRERA | Valencia | |
| HERRERA | Statewide | |
| HERRERA | Statewide | |
| HERRING | Eddy | |
| HESSBROOK-HESBROOK | Lincoln | |
| HICKS | Stateswide | |
| HIDALGO | Colfax | |
| HIDALGO | San Miguel | |
| HIDALGO | Valencia | |
| HIGGENS | Chaves | |
| HIJAR | Dona Ana | |
| HILES | Otero | |
| HILL | Taos | |
| HILL | state-wide | |
| HILL | Bernalillo | |
| HOAGLAND/HOALAN | Santa Fe | |
| HOAGLAND/HOALAN | Torrance | |
| HOCKENHULL | Curry | |
| HODGES | Curry | |
| HOFMAN | Lincoln | |
|
HOFMAN |
Lincoln | |
|
HOLCOMB |
Lincoln | |
|
HOLCOMB |
Chaves | |
| HOLCOMB | Eddy | |
| HOLDEN | Lea | |
|
HOLT |
Lincoln | |
|
HOOD |
Lincoln | |
| HOOPINGARNER | Curry | |
| HOSKING | Bernalillo | |
| HOSKING | Lincoln | |
| HOSKINS | Curry | |
| HOWELL | De Baca | |
| HUDMAN | Otero | |
| HUDSON | Colfax | |
| HUGGINS | state wide | |
| HUGHES | Roosevelt | |
| HUME | Curry | |
|
HUST |
Lincoln | |
|
HUST |
Lincoln | |
| HUST | Lincoln | |
| updated | IJF | 02/22/08 |