Mongezi Bobe scored the equalising goal for his side late in the first half after Celtic had taken the lead through Lerato Manzini.
The first chance of the match fell for the away side in the 11th minute as Thomas Madimba connected with a cross from Joshua Obaje, only to send his shot wide of the target.
Clinton Larsen’s men then took the lead in the 28th minute when Manzini buried his shot into the back of the net after his initial headed attempt had been saved by Posnett Omony.
However, the lead last for just four minutes before Bobe netted the equaliser for his side will a well-taken strike from just outside the box which found its way to the bottom corner.
The hosts had a chance to restore their advantage in the 43rd minute, but Jacky Motshegwa fired his shot over the bar as the two sides went into the break deadlocked at 1-1.
Six minutes into the second half Patrick Tignyemb produced an excellent save to deny Brian Amidu, who had unleashed a powerful strike from the right side of the box.
Then in the 54th minute Lyle Lakay delivered a dangerous corner into the box, but Mogorosi was unable to make full use of his chance as he headed wide of goal.
The last chance of the match fell for Celtic defender Johannes Motlhaping in the 87th minute, but his header struck the outside of the post as the two sides were forced to settle for a share of the spoils.