New Chilli Boys signings Aristide Bance and Mark Mayambela struck late in the second half against the bottom-placed Team of Choice.
The win is Chippa’s third of the season and sees them move up to ninth place on the table with nine points from their seven games.
The loss for Maritzburg is their sixth of the season and sees them firmly rooted to the bottom of the table with one point from seven games.
The first shot on goal came from Chippa in the seventh minute when Ugonna Uzochukwu fired a stinging effort wide from the edge of the box.
William Twala was the next man to try his luck in the 20th minute, but his powerful shot was brilliantly saved by the Maritzburg keeper.
The home side’s first decent effort on goal only came in the 36th minute when Deolin Mekoa unleashed a shot from just outside the box, but Daniel Akpeyi made a good save to deny him.
Five minutes later United suffered a bit of a set-back when Tawfeeq Salie had to leave the field injured and was replaced by Virgil Vries.
Maritzburg came out the better side in the second half with their first attempt on goal in the 55th minute, but Akpeyi produced a dazzling save to deny Mohammed Anas from just inside the box.
In the 74th minute Chippa took the lead when Bance turned home a pin-point pass from Eric Chipeta.
Chippa made sure of the victory two minutes from time when a thunderous free-kick from Mayambela found the back of the net.