In the process, UJ moved to third place on the log with 11 points, six points behind leaders Tshwane University of Technology (TUT) and a point behind Central University of Technology (CUT).
The top four positions will be decided when the postponed fixture between NWU-Mafikeng and Wits is played on Thursday.
Following Monday’s games UP-Tuks are in fourth place on eight points and their chances of staying in the top four depend on Thursday’s match. A win or a draw for NWU, who also have eight points, will see them overtake the Pretoria side.
A victory for Wits, though, will see UP-Tuks advancing because of a better goal difference.
In other matches on Monday the University of Western Cape draw 2-2 with TUT, Wits defeated UP-Tuks 3-2 and CUT played out a goalless draw with NWU-Mafikeng.