The Twinhead Dragon can attack twice per turn, and can use Firaga, Blizzaga, Thundaga and a powerful physical attack. It may also counter physical attacks with Constrict, paralyzing a party member. The party should start by Slowing the dragon and then buffing the party with spells like Haste, Protect and Shell. The player could also use Reflect to bounce the Twinhead Dragon's spells back at it.
The Twinhead Dragon has no weakness, so physical fighters should use their attacks or special moves and black mages should use their most powerful spells, while a White Mage keeps the party healed a buffed. Upon defeat, the Twinhead Dragon leaves behind a chest containing the Holy Lance, the most powerful spear in the game.