Fans stormed the pitch following Sundowns' 2-0 loss to Moroka Swallows on Sunday, and had to be brought under control by police and club management.
This following a pitch invasion after Sundowns loss to Maritzburg United on September 2.
According to a statement, the PSL has appointed an internal security task team to look into the matter and come up with ways to deal with the fan misbehaviour.
"During today's meeting between the PSL and Mamelodi Sundowns, both parties agreed that there is a need to act swiftly in order to curb the behaviour of a faction of their supporters," the statement says.
"Sundowns have requested assistance from the PSL to bring the culprits to book. The club revealed that they intend pursuing criminal charges."
PSL acting CEO Ronnie Schloss says: "The recent scenes at our stadiums have been of great concern to us. We have put together an internal team that will investigate the disturbing scenes."
Mamelodi Sundowns senior legal manager Yogesh Singh adds: "We need to take steps to avoid a repeat of what happened this past weekend. It's not in the interest of Sundowns, the PSL, nor football at large."