Andile Mbenyane opened the scoring after seven first-half minutes before Mfundo Shumana added a second on 61 minutes, Buyani Sali wrapping up the points with just two minutes to go in normal time.
The Chilli Boys wasted no time at all in making an impact on the game, Petrus Ngebo doing brilliantly out on the left wing before setting Mbenyane up for a simple tap-in after just a few minutes of play.
Midway through the first-half and the Lions had their first chance as Peter Nwadike worked himself some shooting space with only the goalkeeper to beat but could only rifle his shot over the crossbar.
The full-back looked dangerous for Neil Tovey's men as the half drew on and again had another good chance to level the scores, but once more he couldn't find the target as he dragged his shot wide from inside the area.
Minutes before the break Amabhubesi had their best chance to find a goal as Nkosinathi Ogle ghosted past his marker before finding himself one-on-one, but the side's shooting remained off an he sent his effort over.
Shortly after the hour mark the visitors made it 2-0, Shumana the man to get his name on the score sheet and edge his side closer to promotion to the Premiership.
Twelve minutes from time Mbenyane had a great chance to grab his second, but goalkeeper Nhlanhla Khuzwayo did brilliantly to keep him out.
The visitors eventually got their third though, Sali breaking free on the counter attack before calmly slotting his shot low past the goalkeeper and into the bottom corner of the net.
The result leaves Chippa top of the play-off standings with five points, one ahead Santos. The People's Team and United will collide in winner-takes-all encounter at the Athlone Stadium on June 30.