In the central city of Najafabad, a demonstrator opened fire on police with a hunting rifle, killing one and wounding three others, state television said.
He called the Iranian people "smart", "sophisticated", and "proud".
It quoted Ali Asghar Nasserbakht, a security deputy governor of Tehran, as saying security forces arrested 200 protesters on Saturday, 150 on Sunday and 100 on Monday. Hundreds have been detained since then.
He criticized the Iranian regime's response to the protests and also chided European governments for watching "in silence" as the protests turn violent. Iranians were hoping for improved living conditions following the nuclear deal and the lifting of some worldwide sanctions.
First: Iranian authorities, once again, successfully crack down on the protests, exactly like what happened in 2009. They seek freedom. They seek justice.
They began as demonstrations against economic conditions in second city Mashhad on Thursday, but quickly turned against the Islamic regime as a whole with thousands marching in towns across Iran amid chants of "Death to the dictator".
The Iranian Parliament on Monday accused Israel, the United States and Saudi Arabia of inciting disturbances within the demonstrations, according to a statement by parliamentary spokesperson Seyyed Hossein Naghavi Hosseini to the semi-official ISNA news agency. Israeli decision-makers see a nuclear-armed Iran as an existential threat. Online video showed police in the capital Tehran firing water cannon to disperse demonstrators, in footage said to have been filmed on Sunday.
While the protests have sparked clashes, Iran's paramilitary Revolutionary Guard and its affiliates have not intervened as they have in other unauthorized demonstrations since the 2009 election.
Iranian state TV is reporting that 10 people have been killed amid nationwide protests, without elaborating.
The Al Mayadeen TV network earlier reported that special units to suppress riots occupied Tehran's Azadi, Enghelab and Ferdowsi Squares on Monday. It was unclear where the others occurred.
As Iran protests continue fifth day running across the country, Iranian officials warned of crackdown against the protesters.
"I do not know whether yesterday's shooting was done by rally participants or the police and this issue is being investigated", Hedayatollah Khademi was quoted as saying.
He said the cause of death wasn't immediately known.
Six people were killed in the western town of Tuyserkan, 185 miles southwest of Tehran, and three in the town of Shahinshahr, 195 miles south of Tehran. Up to 70 protesters were killed in those protests.
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