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The second fight between Ajax and Hector occurs when the latter breaks into the Mycenaean camp, and fights with the Greeks among the ships.

In Book 14, Ajax throws a giant rock at Hector which almost kills him.

In Book 15, Hector is restored to his strength by Apollo and returns to attack the ships.

Ajax, wielding an enormous spear as a weapon and leaping from ship to ship, holds off the Trojan armies virtually single-handedly.

In Book 16, Hector and Ajax duel once again.

Hector is set on burning the ships, the only way he feels the Greeks will truly be defeated.

Hector is able to disarm Ajax ( although Ajax is not hurt ) and Ajax is forced to retreat, seeing that Zeus is clearly favoring Hector.

Hector and the Trojans succeed in burning one Greek ship, the culmination of an assault that almost finishes the war.

Ajax is responsible for the death of many Trojans lords, including Phorcys.