The young Clever Boys were on the front foot from the opening whistle but were unable to convert their dominance into goals as the organised Urban Warriors defence kept them at bay.
Ajax Cape Town snatched the lead in the 33rd minute with a free kick taken by Thomas Chideu.
With 20 minutes left on the clock, the hosts finally found a breakthrough with Lehlogonolo Matlou finding the back of the net equalising the score 1-1.
Bidvest Wits remain top of the log with 10 points.
The next Bidvest Wits MDC encounter will be on Sunday the 16th of October at the Rand Stadium, against Orlando Pirates. Kickoff is set for 12h00.