The home side nearly took the lead in the 25th minute when Thamsanqa Sangweni crashed a left-footed volley against the crossbar.
There were not many further chances as the first half ended goalless, and Lerato Manzini proved the match-winner in the second half when he finished off a fine team move.
It was Manzini's fourth goal in the last five matches as Paseko Mako made a brilliant run down the left-hand side before putting it on a plate for him.
Spurs struggled to create chances that could threaten Daniel Akpeyi in the Chippa goal as Dan Malesela’s side saw out the result in relative comfort.
Chippa United: Akpeyi, Thopola, Mvelase, Chabalala, Mako, Sangweni, Mdaki, Sekome, Jaftha, M Masuku, L Manzini
Witbank Spurs: Nhlapo, Nyembe, Mohlabine, Mthimkulu, Ngunyule, Pe Mubayiwa, Koutche, Pa Mubayiwa, Skhosana, Sauls, Gamede