The only goal of the game was scored by Thulani Notyhawe, who netted with his first touch of the ball having just come on as a substitute.
There was plenty of huff and puff from both sides in the opening 45 minutes, but neither goalkeeper was overly worked.
Petrus Mahlatsi saw his early effort saved by AmaTuks stopper Siya Ngoma, who also had to be alert to tip over Moses Spandeel’s excellent drive 10 minutes before the break.
There were a few half-chances at the other end as AmaTuks found joy attacking down the left, but they were reduced to speculative shots from range.
Tuk defender Warren Bishop had an excellent chance to give them the lead when he flashed his header wide from a corner-kick, while Patrick Malokase saw his free-kick from 35-yards go just over the bar.
Celtic keeper Patrick Tignyemb had to make a smart save from Thabo Maleko with 17 minutes remaining, but he could do nothing about the strike from Notyhawe, who drilled his first touch of the game into the bottom corner from 30-yards.