| Term | Description |
| Habited | Used to describe a man when borne clothed |
| Harbored | Applied to the hart, stag, etc., when lying down. The same as couchant in beasts of prey |
| Harpy | The heraldic Harpy is a vulture with the head and breast of a woman |
| Haurient | Applied to a fish when borne palewise, or upright, as if putting its head out of the water to draw or suck in air. |
| Hedgehog | Also known in heraldry as the herisson and the ericus. |
| Herisson | A hedgehog |
| Honor point | The point immediately above the center of the shield, dividing the upper portion into two equal parts |
| Hood | The binding cap on the head of a hawk (in falconry) to make him sit quietly on his perch |
| Hooded | Applied to a hawk or other bird of prey when borne with a hood over its head |
| Horned | Applied to animals represented with horns of a different color from the animal itself, or from the proper color of the horns. For instance, a bull with red horns would be described as horned gules. |
| Humettee | Said of an ordinary when cut off, or couped, so that its extremities do not reach the sides of the shield |
| Hunting horn | A bearing representing the bugle used in the chase |
| Hurst | charge representing a small group of trees, generally borne upon a mount or base |
| Hurt | A roundel tinctured azure; a blue ring. Some claim that it represents a wound or hurt, while others say it is a representation of the hurtleberry |