| # | Name | Origin | Meaning | Gender | |
|---|---|---|---|---|---|
| 1021 | Henriette | French | Keeper of the hearth. | F | |
| 1022 | Henry | French | Rules the home. | M | |
| 1023 | Herbert | French | Illustrious warrior. | M | |
| 1024 | Hervey | French | Variant of Harvey: From Celtic words for battle, strong, worthy, and ardent. Used commonly during the middle ages. | M | |
| 1025 | Hettie | French | From Henrietta. Rules her household.. | F | |
| 1026 | Hetty | French | Diminutive of Henrietta: Keeper of the hearth. Rules her household. From Henriette, the French feminine form of Henry. | F | |
| 1027 | Hilaire | French | French form of Hilary: Joyful; glad.. | F | |
| 1028 | Holly | French | Shrub. | F | |
| 1029 | Honore | French | Honor. Good name and integrity. | F | |
| 1030 | Hortense | French | French Variant of Hortensia, from the feminine form of the Roman clan name Hortensius. | F | |
| 1031 | Huette | French | Feminine form of Hugh. | F | |
| 1032 | Hugette | French | Feminine form of Hugh. | F | |
| 1033 | Hugh | French | Intelligent. | M | |
| 1034 | Huguetta | French | Feminine form of Hugh. | F | |
| 1035 | Ignace | French | Fiery. | M | |
| 1036 | Ila | French | From the island. | F | |
| 1037 | Isabeau | French | Variant of Elizabeth. My God is bountiful;God of plenty. | F | |
| 1038 | Ismay | French | Feminine form of Esme: An Old French variant of the Latin 'aestimatus' meaning esteemed, or 'amatus' meaning loved. | F | |
| 1039 | Iva | French | From the yew tree. | F | |
| 1040 | Iven | French | Little archer. | M | |