Siyabonga Nkosi and Siphiwe Tshabalala scored in each half.
Chiefs were quick out of the blocks and had three great opportunities to open the scoring in the first 20 minutes.
Firstly Tefu Mashmaited missed from close before Knowledge Musona failed to capitalize on an Ea Lla Koto defensive mistake.
Daniel Agyei was forced into a fine double save in the 17th minute to deny first Tshabalala and then Nkosi.
The Ghana goalkeeper though could do nothing to stop Nkosi from scoring in the38th minute.
The Chiefs midfielder made a darting run into the area before heading Tshabalala’s precise free-kick into the back of the net to make it 1-0.
Chiefs were deserved 1-0 leaders at the interval.
Stars piled forward in the final few minutes of the match and thought they had equalised a minute from time through Ouro-Akoriko.
The Togolese found the back of the net with his head from close-range but the linesman's flag was raised for off-side.
Shabba sealed the deal in second half stoppage time when he ran onto a neat ball from Parker before beating Agyei to make it 2-0.