Chile's President Sebastian Pinera said he would send bills to Chile's congress to toughen penalties against looting, violence and destruction committed during protests.
Prosecutors say five of the 20 deaths recorded in the protests were suspected to have been at the hands of security forces.
Protests against a now cancelled metro fare rise quickly escalated into a movement against inequality in Chile.
The Chilean government's treatment of protesters is reviving painful memories of the brutal dictatorship of Augusto Pinochet.
Public education is considered low quality due to what protesters say is a lack of investment in resources and teacher wages.
Chilean President Sebastian Pinera unveiled a major cabinet reshuffle on Monday as he battles to find a response to more than a week of street protests that have left at least 20 people dead.
The president asked all his cabinet members to resign, saying that he understands the message of the protests and promising that change is coming.
Even as Pinera spoke on Thursday morning, many protesters had already begun to gather again in the central plazas and downtown streets of Santiago, banging pots and calling for further reforms under the blazing, springtime sun.
Thousands of striking workers, including healthcare workers and teachers, sang and carried banners in the capital and other cities.
Violence continues despite government retreat on fare hike. Officials in Santiago said three people died in fires at two looted supermarkets early Sunday. Five more people later were found dead in the basement of a burned warehouse, authorities said.
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