From the Super Mario Wiki
This move can be purchased from Cranky's Lab right after Chunky Kong is freed by Lanky Kong for five Banana Coins. It can be activated by pressing and holding the button while hitting the button when Chunky Kong is immobile. The Primate Punch is one of the most powerful attacks in the game, capable of taking down most enemies (including some durable enemies, such as the Robokremling) with one hit, and is the key move for defeating King K. Rool. The attack can also be used to take out obstructions such as boxes and gates. Wall switches can be activated with this move.
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