The protests have swept across the country ever since a crowd in the northeastern city of Mashhad took to the streets over the rising cost of living.
Iran has moved to restrict social media networks that have been used to organise four days of anti-establishment protests.
The semi-official Fars news agency said protests on Friday also struck Qom, the world's foremost centre for Shia Islamic scholarship and home to a major Shia shrine.
"Some armed protesters tried to take over some police stations and military bases but faced serious resistance from security forces", state TV reported.
That was not the case for Saturday's pro-government "9 Dey Epic" demonstrations.
But in cities across Iran, protesters ripped down posters of Ayatollah Khamenei, the Islamic Republic's supreme leader.
This cauldron of simmering resentment boiled over into a fourth day of mass protests against the regime in Iran yesterday, in more than 40 cities and towns.
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Mohsen Araki, a Shia cleric who serves in Iran's Assembly of Experts, praised Mr Rouhani's efforts at improving the economy.
It said two people were killed and six wounded. Tehran now sells its oil on the global market and has signed deals for tens of billions of dollars of Western aircraft. A recent increase in egg and poultry prices by as much as 40 per cent, which a government spokesman has blamed on a cull over avian flu fears, appears to have been the trigger for the protests.
In this photo taken by an individual not employed by the Associated Press and obtained by the AP outside Iran, university students attend a protest inside Tehran University while anti-riot Iranian police prevent them to join other protestors, in Tehran, Iran, Saturday, Dec. 30, 2017.
Israel's Intelligence Minister Yisrael Katz said on Sunday that Iran's "murderous regime", which has repeatedly threatened to wipe Israel off the map, will "disappear", while Israel will "exist forever".
However, according to the Associated Press, the Iranian state government has blocked various social media sites, as well as a popular messaging smartphone application called "Telegram".
The "temporary" restrictions on the apps Telegram and Instagram were imposed to "maintain tranquillity", state news agency Irib reports.