Public anger has mounted against the hard-handed police force in the run-up to a May 7 general election as Africa's largest economy faces a wave of protests over wages and shoddy public services.
"No I am not happy, I don't think anyone can be with trigger-happy police. It's not good at all," Zuma said in an interview with the Independent Newspapers Group.
"The police need to be trained, specifically trained, particularly dealing with a country that is prone to protest. You need to be ready for that."
Seven others were shot dead in separate protests while another was allegedly pushed from a police van, according to police sources. A police watchdog is probing all the cases.
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Police Minister Nathi Mthethwa has blamed the crackdowns on violent protesters saying "the level of dangerous weapons that police have to face is extreme."
South Africa's northern platinum belt has been the scene of work-related bloodshed since 34 platinum miners were shot dead by police during a strike at Lonmin's Marikana mine in August 2012.
Zuma also raised concern about the violent nature of the protests.
"You had miners on strike carrying every other weapon, actually ready to kill. In fact they had killed 10 people before the police shot at people," Zuma said referring to the Marikana killings.
"If we just criticise the police only and not talk about violent protest, I think we are missing the point.