| # | Name | Origin | Meaning | Gender | |
|---|---|---|---|---|---|
| 561 | Helenus | Latin | Son of Priam. | M | |
| 562 | Hercules | Latin | Glory of Hera. Glorious Gift. Derived from the Greek name Heracles. In Greek mythology, Hercules (or Heracles) was the son of Zeus, who performed the Twelve Labours after killing his wife and children in a fit of madness. | M | |
| 563 | Herminius | Latin | A hero who saved Rome. | M | |
| 564 | Hieronymous | Latin | Saved. | M | |
| 565 | Hieronymus | Latin | Holy name. | M | |
| 566 | Hilarion | Latin | Happy. | M | |
| 567 | Hilary | Latin | Happy; Cheerful. | M | |
| 568 | Hillary | Latin | Happy. | M | |
| 569 | Hillery | Latin | Happy; Cheerful. | M | |
| 570 | Hippocampus | Latin | Neptune's horse. | M | |
| 571 | Honor | Latin | Honour. | M | |
| 572 | Honorato | Latin | Honor. | M | |
| 573 | Horace | Latin | Timekeeper. Derived from the Roman family clan name Horatius. | M | |
| 574 | Horacio | Latin | Timekeeper. | M | |
| 575 | Horatio | Latin | Timekeeper; Derived from the Roman family clan name Horatius. | M | |
| 576 | Horatius | Latin | A hero who saved Rome. | M | |
| 577 | Horaz | Latin | Timekeeper. | M | |
| 578 | Hugo | Latin | Variant of Hugh 'a thinker.' See also Keegan. | M | |
| 579 | Idomeneus | Latin | King of Crete. | M | |
| 580 | Ignac | Latin | Ardent. | M | |