Having dominated the opening 45, the Amakhosi took the lead through Edward Manqele five minutes after the hour, but the hosts hit back through the in-from Nathan Paulse as the game ended all square.
The result moves Chiefs up to fourth, Ajax remain sixth.
Eager to make amends for their MTN8 final defeat to the same opposition, Chiefs applied all the early pressure.
Head coach Steve Komphela made several changes to the side that went down to the Urban Warriors in Port Elizabeth and two of those changes, Edward Manqele and Camaldine Abraw combined for the first chance of the match on 15 minutes.
Manqele's low cross finding fellow former Free State Stars forward Abraw who would've scored were it not for a superb reflex save by Anssi Jaakkola.
The Finnish goalkeeper has been in great nick for Ajax and had to be at his best in the opening half-hour as the Amakhosi dominated proceedings.
Ajax though find their rhythm as the half grew on and Reyaad Pieterse had to be on his toes as Riyaad Norodien saw his cross-cum shot fly just over before the Chiefs stopper was forced into a smart intervention to deny Paulse a chance at goal.
Chiefs finished a end-to-end half on the front foot with Rivaldo Coetzee doing well to clear Manqele's shot at goal before Jaakkola produced a world class save to thwart Tsepo Masilela.
The opening goal of the game finally came with 65 minutes on the clock. Good work by Reneilwe Letsholonyane and Siphiwe Tshabalala set up Manqele who tapped in from close range for his first goal in the gold and black.
Ajax hit back immediately through Paulse from a Cecil Lolo corner-kick. The lanky forward rising above two Chiefs players to nod in his third goal in seven days.
George Lebese came off the bench in the 74th minute and the winger had a succession of chances to steal the win for the visitors, but on both occasions he picked out Jaakkola who was duly named man of the match.