The purpose of the Labyrinth in Greek mythology is to contain the Minotaur, a monstrous half-man, half-bull creature. Designed by Daedalus, the Labyrinth serves as a complex maze that symbolizes entrapment and the complexities of human nature. The hero Theseus eventually navigates the Labyrinth, representing the journey toward self-awareness and overcoming fear, showcasing the broader themes of heroism in Greek myths.