The victory moved Matsatsantsa up to fourth position on the PSL table, seven points behind log leaders Orlando Pirates with a game in hand while Sundowns dropped to third spot.
Grant Kekana and Gamphani Lungu struck either side of the half-time interval to give SuperSport all three points.
Tembo said after the game: "I think we managed the game very well, we knew that their full-backs will be going high up and we needed to use the space in the pockets they leave behind and also deal with the balls over our defence. So our distances were very good.
"Our pressing was very good and we defended the box very well because we know they play a short passing game and combinations.
"We knew after watching their videos that their back post they always leave it open.
"I told him [Grant Kekana] if you go there, you're going to score and that's what happened. But we had to wait. We spent the whole week trying to work on our set-plays and make sure we take advantage of that especially at the back post."
Turning his attention to the title race, Tembo said his team just have to fight and win all their remaining games and they will have a sniff at the trophy.The Zimbabwean continued: "It's not done yet. There's still a lot of points to play for and anything can happen. We have four games to go; that's 12 points."If we can try to win all of them who knows where we are going to finish? So we keep on fighting."