A similar rally followed Friday prayers in Tehran.
Donald Trump has tweeted his support for the anti-government protesters, warning Iran that the "world is watching".
The U.N. Security Council met to discuss the protests that erupted in Iran over a week ago.
American Ambassador to the United Nations Nikki Haley speaks during a Security Council meeting on the situation in Iran, Friday, Jan. 5, 2018 at United Nations headquarters.
The matter of whether the UNSC can exercise jurisdiction over the internal situation in Iran, that gave rise to mass demonstrations across the entire country with the death toll reaching over 50 and hundreds others injured or arrested by Iranian security forces, is debatable.
Haley went on to destroy the Iranian regime, denouncing their involvement in the Syrian civil war and supporting Syrian President Bashar al-Assad. "The United States is abusing the platform of the security council", said Russian Ambassador Vassily Nebenzia, whose country has close ties to Iran.
"And let there be no doubt whatsoever: the United States stands unapologetically with those in Iran who seek freedom for themselves, prosperity for their families, and dignity for their nation".
Envoys from several other countries including China expressed reservations about whether the council was the right place to debate the issue.
"It is right and proper - indeed, our responsibility ... to assess whether a situation like this could become a threat to global peace and security", British Ambassador Matthew Rycroft said before the meeting.
"It is right and proper - indeed, our responsibility.to assess whether a situation like this could become a threat to global peace and security", British Ambassador Matthew Rycroft said before the meeting.
Man dies in Stockholm after picking up suspected grenade
Police cordoned off the station and the square outside as bomb squad experts moved in to investigate. Officers say a 60-year-old man was hurt after picking up an object from the ground which exploded.
Lawmaker Mahmoud Sadeghi said that around 90 university students 58 of them in the capital Tehran have been detained since protests broke out, the semi-official ILNA news agency reported Saturday. We will not be quiet.
"However worrying the recent events were, they did not constitute a threat to global peace and security".
However, France's United Nations ambassador Francois Delattre argued that the protests don't threaten global peace and security, saying: "We must be wary of any attempts to exploit this crisis for personal ends".
"This is nothing but another desperate attempt by the U.S. administration to escape, as it has lost every shred of moral, political and legal authority and credibility in the eyes of the whole world", he said.
Khoshoroo alleged that the USA has a long history of intervening in the internal affairs of Iran, including a continuous pattern of disruption in the democratisation process in Iran.
Khoshroo said Iran has "hard evidence" that violence is being directed from overseas, and went on to describe recent instances in which foreign citizens have incited violence in Iran.
Trump's administration has denied having any hand in the demonstrations, saying they arose completely spontaneously.
Iranian Foreign Minister Javad Zarif wrote on his Twitter account that the meeting was "another foreign policy blunder for the Trump administration".
Thousands of government supporters staged rallies in Iran for a fourth day on Saturday, in a backlash against widespread protests that the clerical establishment has blamed on the country's enemies.
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