The Amakhosi threatened first in as early as the sixth minute when Shaun Bartlett headed wide from a good position inside the area.
Tinashe Nengomasha then threatened with a fierce long range effort which Supersport keeper Dennis Onyango tipped around the post.
Daine Klate should have put Matsatsantsa ahead in the 19th minute when he latched onto a loose ball inside the area, but his first touch was a poor one and Chiefs keeper Itumeleng Khune rushed off his line to collect at the winger’s feet.
Tshabalala sent a shot straight at Onyango from the edge of the area in the 21st minute, while United should have gone ahead four minutes later when Sibusiso Mahlangu raced clear on goal, but with just Khune to beat, the midfielder sent his shot well wide of the far post.
The match remained goalless at the break.
Supersport threatened first in the second stanza when Bongani Khumalo sent his header crashing into the crossbar from a Daine Klate free-kick.
The hosts were made to pay for their poor finishing in the 58th minute when Tshabalala latched onto a clever flick by Kaizer Motaung Jnr before blasting the ball Onyango at the near post.
Although Supersport pushed more men forward, they were unable to penetrate the Chiefs defence, with the Amakhosi faithful going wild at the sound of referee Daniel Bennett’s whistle, to signal the end of the game.