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| Attack Name | Attack Type | Effect(s) | PP |
| Harden | Normal | Increases defense | 30 |
| Haze | Ice | Cancels any effects on both Pokémon | 30 |
| Headbutt | Normal | HP damage, enemy may run away | 15 |
| Hi Jump Kick | Fighting | If missed, you will receive a little damage | 20 |
| Horn Attack | Normal | HP damage | 25 |
| Horn Drill | Normal | 1-hit defeat if successful | 5 |
| Hydro Pump | Water | HP damage | 5 |
| Hyper Beam | Normal | Takes one turn to charge up after damaging opponent | 5 |
| Hyper Fang | Normal | HP damage, enemy may run away or not attack | 15 |
| Hypnosis | Psychic | Add SLEEP | 20 |