The often violent demonstrations have highlighted frustration at enduring inequalities decades after the end of apartheid
The often violent demonstrations over the cost of university education, which is prohibitive for many black students, have highlighted frustration at enduring inequalities more than two decades after the end of apartheid.
Zuma on Tuesday formed a ministerial team to help end the protests but his government has said education subsidies should not come at the expense of other services such as health or housing. It also said 2017 university fees may rise by up to 8 percent.
"The TUT students did go through the Pretoria CBD (central business district) but public order policing have now dispersed them," said police spokeswomen Sally De Beer, referring to Pretoria's Tshwane University of Technology (TUT).
She said several students were arrested over the clashes, which disrupted traffic in parts of the city, but could not confirm how many.
Police fired rubber bullets and stun grenades to disperse the protesters, News24 Online service said.
Some students are demanding all universities be shut down until the government provides free education.
Students at the University of the Witwatersand (Wits) -- the where most of the clashes with police occurred in the last week -- gathered outside a court in Johannesburg in support of their colleagues facing charges of public disturbance.