| Henriqua | Feminine form of Henrique rules the home |
| Heriberto | Spanish form of Herbert shining warrior |
| Hermelinda | shield of power |
| Hermosa | A woman who is very beautiful. |
| Hermoso | A man who is very handsome. |
| Hernan | Adventurous. Variant of Ferdinand. |
| Hernandez | Adventurous. Variant of Ferdinand. |
| Hidalgo | A member of the Spanish nobility. |
| Hilario | A name meaning happy and cheerful. |
| Homero | A seeker of noble pledges. |
| Honor | Derived from the Latin word for esteem. |
| Honoratas | A masculine form meaning honored. |
| Honorato | Spanish name meaning the honored. |
| Honoria | Latin name meaning woman of honor. |
| Horado | Spanish form of Horace timekeeper |
| Hortencia | One who tends a garden well |
| Iago | A name meaning a supplanter of men. |
| Ibbie | Beautiful. Diminutive of Isabel: Devoted to God. A Spanish variant of Elizabeth. |
| Ibby | Beautiful. Diminutive of Isabel: Devoted to God. A Spanish variant of Elizabeth. |
| Idoia | Reference to the Virgin Mary |
| Idurre | Reference to the Virgin Mary |
| Ignacia | A feminine name meaning fiery one. |
| Ignado | A rare name meaning fiery spirit. |
| Ignazio | Italian name meaning fiery one. |
| Igone | Basque name meaning ascension. |
| Iiari | A name meaning a bright, shining light. |
| Iiian | A name meaning a gift from the heavens. |
| Ikerne | The Basque name for visitation. |
| Ileanna | Variant of Elena. |
| Iliana | Variant of Elena. |
| Iluminada | A name meaning enlightened. |
| Imelda | Powerful fighter. The name of a fourteenth-century Spanish saint. |
| Immaculada | The Immaculate Conception |
| Incendio | A name meaning fire or burning. |
| Ines | Meek. Chaste. Variant of Agnes. |
| Inez | Meek. Chaste. Variant of Agnes. |
| Inocencia | A Spanish name meaning purity or innocence. |
| Inocencio | A Spanish name meaning the innocent one. |
| Inoceneia | A rare variant meaning pure and harmless. |
| Inocenta | A feminine name meaning pure of heart. |