A defensive blunder saw TS Galaxy defender Kganyane Letsoenyo mistakenly pass the ball to Gaston Sirino, who fired at goalkeeper Ira Tape on Saturday.
Wandile Duba was alert to pounce on the Tape's spill to hand Kaizer Chiefs the lead on 36 minutes on an evening the Amakhosi attacker was starting for the first time since January.
The Soweto giants then surrendered their lead with nine minutes remaining.
Bruce Bvuma had saved Edmilson Dove's miscued headed clearance, but Galaxy captain, Mlungisi Mbunjana, finished the Amakhosi custodian's attempted save.
After giving up their lead, Chiefs will, however, take solace in that they managed to reclaim the eighth spot on the table, while the Rockets rose a rung up to the third spot after the 1-1 draw.