In Diamond, Pearl and Platinum, an elderly man, much like the woman of Cape Brink, appears on Route 228 at the Battle Zone and will teach it to the three fully evolved Fire-type starters of the previous generations, as well as Infernape. He will also require that the Pokémon that is to learn the move has a high happiness rating.
In HeartGold and SoulSilver, the Move Tutor that can teach Blast Burn as well as Frenzy Plant and Hydro Cannon to their corresponding Pokémon can be found in the Move Deleter/Relearner's house in Blackthorn City.
In Black and White, the Move Tutor that can teach Blast Burn appears in a house on Route 13, and will teach it to the four fully evolved Fire-type starters of the previous generations, as well as Emboar. Like in previous generations, this move tutor will require that the Pokémon he teaches the move to has a high happiness rating.
