Thamsanqa Gabuza, fresh from a brace against TS Galaxy, kept his spot in the starting eleven as did top-scorer Bradley Grobler, while Jackson Mabokgwane continued in goal for Celtic.
There was no stopping Gabuza in the opening 13 minutes when the lanky forward got wind of an in-swinging corner-kick from Sipho Mbule to finish from close-range.
Celtic were level midway through the first half after a foul in the area on Ndumiso Mabena culminated in a penalty-kick, which was emphatically dispatched by Victor Letsoalo.
Siwelele Sa Masele pushed for the front minutes later with a smart header from Siphelele Luthuli before Andile Fikizolo unleashed a shot from close-range, but Ronwen Williams saved.
It was Matsatsantsa though who went to halftime ahead when Grobler met a well-played corner to head home and become the club's all-time leading goal-scorer with 58 goals.
Gabuza looked to give United a third five minutes after the resumption following a neat lay-off from Ghampani Lungu, but the former volleyed wide from outside the box.
Celtic began to up the ante as the midway period of the second half approached, but Matsatsantsa remained resolute on all fronts amidst the onslaught from the visitors.
Williams was called to action for the second time in the match 20 minutes from time with a superb save from a thumping free-kick by Lantshane Phalane.
Jamie Webber became the home side's first alteration on 77 minutes, as he made way for Moses Waiswa with the tie in the balance.
SuperSport battled to sustain momentum in the closing minutes, with a threatening volley from Harris Tchilimbou nearly resulting in the equaliser as the match concluded.
SuperSport: Williams, Nlapho, Kekana, Fleurs, Ditlhokwe, Mokoena, Mbule, Webber, Lungu, Gabuza, Grobler.
Subs: Chigova, Khumalo, Philipps, Mohomi, Waiswa, Mbatha, Moralo, Mahachi, Appollis.
Celtic: Mabokgwane, Fikizolo, Chabalala, Mahashe, Lingwati, Pfumbidzai, Phalane, Mashikinya, Letsoalo, Mabena, Luthuli.
Subs: Chaine, Matjila, Kobedi, Nyamende, Ncobeni, Potsane, Tchilimbou, Mofokengm Njoti.