| Hayk | A name meaning a powerful ruler. |
| Haymitch | A name meaning home ruler. |
| Hayworth | Gift of the Lord |
| Hazaar | Gift of the Lord |
| Hazaf | Gift of the Lord |
| Hazafat | Gift of the Lord |
| Hazaifa | Gift of the Lord |
| Hazeez | Gift of the Lord |
| Hazer | One who observes or watches. |
| Hazi | A person who is very sharp. |
| Hazifa | Gift of God, a variant of Hazi |
| Hazil | Gift of God, a variant of Hazi |
| Haziz | Gift of God, a variant of Hazi |
| Hazoor | Present, near, or in the presence of God |
| Hazr | Gift of God, a variant of Hazi |
| Heaf | An old term for a mountain ridge. |
| Heald | One who lives by the old slope. |
| Heardinc | A variant of the name Harding. |
| Heartley | Derived from Heart, possibly related to courage |
| Heel | Foot or leg, possibly related to strength |
| Hefil | A name meaning a strong leader. |
| Hehu | A name meaning joy and happiness. |
| Heilmut | Helmet and disposition |
| Heiner | Means of enclosure and to rule |
| Heinrick | A powerful ruler of the estate. |
| Helindu | A name meaning moon or moonlight. |
| Helitha | A name meaning light of the sun. |
| Helkath Hazzurim | The field of strong men, or of rocks |
| Helmold | Helmet, ruler, or protector |
| Helo | God is my oath, a variant of Elah |
| Hemede | One who possesses a golden spirit. |
| Hendrikus | Ruler of the home, a variant of Henry |
| Hennepin | Derived from Hennepin, a type of plant |
| Hennry | The ruler of the house |
| Hentrikki | A Finnish variant of Henry. |
| Heraaz | Hero, warrior, or brave one |
| Heracles | Glory of Hera, a variant of Hercules |
| Hereford | A ford for the army. |
| Herevey | A battleworthy warrior. |
| Herewardus | Guardian of the army. |