A goal shortly after halftime from Hendrick Ekstein was enough for the three points, and although it was not an overly inspired performance from the Soweto giants, in fourth spot they remain in the mix for a top-three finish and also still have the Nedbank Cup to play for.
Chiefs had an early chance when Philani Zulu fired wide from a Joseph Molangoane cross in the fourth minute, but other than, Amakhosi were unable to find much rhythm to their game.
The Glamour Boys though began to take control as the game moved past the 25 minute mark and opportunities followed as Ryan Moon twice missed the target with headed attempts, before Leonardo Castro drew a save from Stars keeper Mbongeni Mzimela before firing another effort wide.
All Stars had to show for their efforts was a hopeful shot from range from Riyaad Norodien, and an off-target free kick from Nyiko Tshabalala just before halftime.
After last week’s defeat to Chippa, Chiefs needed a moment of inspiration and it came three minutes after the halftime break in Soweto as Molangoane pulled back a cross from the by-line for Ekstein to come steaming in and put the ball into the net.
Dikwena had a sniff at an equaliser soon after when Wangu Gome turned on the edge of the box, but his shot was way off the mark.
At the other end, the hosts had more opportunities as Willard Katsande sent a header wide before having an effort from close range deflected over the bar.
Desperate to try and keep their faint survival hopes alive, bottom-of-the-table Stars rallied hard in the closing minutes of the game.
But the Amakhosi rearguard were on their toes and kept Stars at bay with some ease and it could perhaps even had been 2-0 when Bernard Parker steered an 87th minute shot just the wrong side of the post.
Would you like to place a soccer bet? Click here to get started in 3 easy steps.