Ajax Syllabification: (A·jax)Pronunciation: /ˈāˌjaks/ Greek MythologyDefinition of Ajax 1a Greek hero of the Trojan War, son of Telamon, king of Salamis. He was proverbial for his size and strength. 2a Greek hero, son of Oileus, king of Locris. Ajax in other Oxford dictionaries Definition of Ajax in the British & World English dictionary