After Ajax was defeated by Odysseus in a battle for Achilles' armour, Ajax's disappointment drove him mad. Ajax went on to kill himself with the sword he had received from Hector.

What happens when Ajax kills himself?

Ajax is angry with the Greek leaders for awarding Achilles' armour to Odysseus and plots to kill Agamemnon and Menelaus. But Athena clouds his mind and, believing them to be the Greek army, he kills the Greeks' lifestock instead, including a herdsman. When he regains his senses, he kills himself out of shame.

What happened to Ajax in the Trojan War?

Ajax's Death

At the end of the Trojan War and after Achilles' death, Ajax along with Odysseus fought against the Trojans to retrieve the body of the hero. After burying him, the two wanted to claim Achilles' armour for themselves. ... Ajax, angry at what had happened, deliberately fell on his own sword and died.