Iran's top police officer issued an ultimatum on Monday to protesters who joined what authorities have deemed "riots", saying they must hand themselves in within three days or face the full force of the law.
But the government also pledged to tackle economic hardships that sparked the demonstrations, which were met with a crackdown that rights groups say has left thousands dead.
The protests constituted the biggest challenge to the Iranian leadership in years, with the full scale of the violence yet to emerge amid an internet blackout.
National police chief Ahmad-Reza Radan on Monday urged young people "deceived" into joining the "riots" to turn themselves in and receive lighter punishment.
Those "who became unwittingly involved in the riots are considered to be deceived individuals, not enemy soldiers", and "will be treated with leniency", he told state television.
Officials have said the demonstrations were peaceful before descending into chaos fueled by Iran's arch-foes the United States and Israel in an effort to destabilize the nation.
The heads of the country's executive, legislative and judicial branches on Monday all pledged to work "around the clock" in "resolving livelihood and economic problems", according to a joint statement published by state television.
But they would also "decisively punish" the instigators of "terrorist incidents", said the statement from President Masoud Pezeshkian, parliament speaker Mohammad Bagher Ghalibaf and judiciary chief Gholamhossein Mohseni Ejei.
Alarm has grown over the possibility that authorities will use capital punishment against protesters.
The United Nations on Monday warned the country was using executions as "a tool of state intimidation".
Iran -- the world's most prolific executioner after China, according to rights groups -- reportedly executed 1,500 people last year, UN rights chief Volker Turk said in a statement.
Security officials cited by Iran's Tasnim news agency said late last week that around 3,000 people have been arrested in connection with the demonstrations, but rights groups say the number could be as high as 20,000.
Supreme leader Ali Khamenei said on Saturday that authorities "must break the back of the seditionists".
The scale of the crackdown has emerged piecemeal as Iran remains under an unprecedented internet shutdown that is now in its 11th day.
Despite difficulty accessing information, the Iran Human Rights NGO says it has verified that 3,428 protesters were killed by security forces, warning the actual toll could be far higher.
Internet access would "gradually" return to normal this week, Hossein Afshin, Iran's vice president for science, technology and the knowledge economy, said Monday on state television, after limited access briefly returned the day before.
Images from the capital Tehran showed buildings and billboards destroyed during the rallies.
In Iran's second-largest city of Masshad, damage to public infrastructure exceeded $15 million, Mayor Mohammadreza Qalandar Sharif told state television.
