| # | Name | Origin | Meaning | Gender | |
|---|---|---|---|---|---|
| 681 | Hesione | Greek | Daughter of Laomedon. | F | |
| 682 | Hesper | Greek | Evening star. | F | |
| 683 | Hesperia | Greek | One of the Hesperides. | F | |
| 684 | Hester | Greek | Evening star. | F | |
| 685 | Hestia | Greek | Goddess of hearth and home. | F | |
| 686 | Hilaeira | Greek | Girl carried off by Pollux and Castor. | F | |
| 687 | Hippodamia | Greek | Wife of Pirithous. | F | |
| 688 | Hippolyta | Greek | Feminine form of Hippolytus: Horse let loose. Queen of the Amazons. A character in Shakespeare's A Midsummer Night's Dream'. | F | |
| 689 | Hippolyte | Greek | Queen of the Amazons. | F | |
| 690 | Horae | Greek | Goddess of the season. | F | |
| 691 | Hyacinth | Greek | Purple. | F | |
| 692 | Hyacintha | Greek | Feminine form of Hyacinth: From the flower by the same name. In Greek legend, the hyacinth sprouted from the blood of the youth Hyacinthus, who was accidentally killed by Apollo. | F | |
| 693 | Hyacinthe | Greek | Purple. | F | |
| 694 | Hyades | Greek | Name for the nymphs. | F | |
| 695 | Hydra | Greek | A dragon killed by Hercules. | F | |
| 696 | Hygeia | Greek | Goddess of health. | F | |
| 697 | Hygieia | Greek | Goddess of health. | F | |
| 698 | Hypate | Greek | Exceptional. | F | |
| 699 | Hypatia | Greek | Highest. Exceptional. | F | |
| 700 | Hypermnestra | Greek | Refused to kill her husband on their wedding night. | F | |