This was Chiefs' third league win in a row, and will give them extra belief that they can now mount a title challenge, after a poor start to their Absa Premiership campaign.
SuperSport, meanwhile have now lost two league games in a row and the reigning champions seem to have lost their scoring touch, failing to take several late chances.
It was Gavin Hunt's side that started the game well, Anthony Laffor's cross just failing to find the boot of Tefera Fikru after just three minutes.
On 23 minutes, Katlego Mashego then wasted a glorious chance to give his side the lead, slicing wide after Fikru had put him in the clear.
Chiefs were keeping the ball well, but finding it difficult to break down the SuperSport defence. Muhsin Ertugral's side were restricted to long range shots, with Siphiwe Tshabalala and Renilwe Letsholonyane both firing just over.
The game changed after the break, however, as the Amakhosi began to pile the pressure on Matsatsantsa. Chiefs thought they should have had a penalty after 46 minutes, when David Mathebula went down under the challenge of SuperSport goalkeeper Dennis Onyango. But referee Daniel Bennett saw nothing wrong with Onyango's challenge.
Just three minutes later, however, the Chiefs fans inside Super Stadium were in ecstasy. Tshabalala's cross found Gert Sckhalkwyk, whose header was saved by Onyango. But the rebound fell to Mathebula, who fired in from an acute angle.
SuperSport only really came into the game in the last 15 minutes or so, when they wasted several excellent opportunities.
First, Mashego failed to capitalise on Onismor Bhasera's mistake, again slicing wide. Then Fikru headed a free header wide of the goal. The Ethiopian striker was again guilty after an error from Chiefs centre back Mokete Tsotetsi, shooting straight at Khune, when a pass to a teammate looked a better option.
Ertugral brought on Jimmy Tau and Mandla Masango as he sought to waste time in the final minutes. Jose Torrealba and Itumeleng Khune were also booked by referee Bennett as they sought to slow the game down.
But in the end, it was Chiefs fans who were left singing on a cool evening, as their team picked up a vital three points.