The Greek hero Achilles defeated Hector, the Trojan warrior, during the Trojan War. This fierce battle is one of the most iconic moments in Homer's Iliad. Hector, defending his city, meets Achilles in a climactic showdown fueled by rage and revenge after the death of Achilles' friend Patroclus. Achilles' victory marks a turning point in the war, showcasing themes of honor and the tragic consequences of war.