Hunt’s men started well with Sifiso Hlanti going just wide of the upright nine minutes into the match, Riyaad Pieterse well beaten.
The hosts settled and started applying pressure, winning a penalty when Thulani Hlatshwayo was judged to have handled the ball in the box as he went to ground.
Dean Furman stepped up and made no mistake finding the back of the net from 12 yards.
The Clever Boys ended the half well but SuperSport United remained resilient to see off the waves of pressure from the visitors.
The hosts looked threatening as the second half resumed, Kingston Nkhatha’s effort crashing onto the crossbar seconds after the half resumed.
Less than a minute later substitute Gabadinho Mhango levelled matters for Wits.
Eight minutes later the defending Absa Premiership champions took the lead through a James Keene header who rose well from a corner at the far post.
Mhango was menacing going forward and turned provider, laying off Daylon Claasen who fired home a rocket from 25 yards, his effort giving the United shot-stopper no chance.
Captain Thulani Hlatshwayo guaranteed the result three minutes from time with a dominant header inside the small box.
The result sees Bidvest Wits unbeaten in four and building momentum as they move up the Absa Prem log.