Russia's UN ambassador Vassily Nebenzia said the United States was abusing the Security Council's platform and the meeting was an attempt to use the current Iranian situation to undermine the Iran nuclear deal, which the US administration opposes.
But Russia and Iran complained the protests were a domestic matter and had no place being discussed at a council focused on worldwide security.
On 3 January, the Permanent Representative of Iran to the United Nations wrote to the Secretary-General, accusing the United States of stepping up "its acts of intervention in a grotesque way in Iran's internal affairs under the pretext of providing support for sporadic protests" in Iran, he recalled.
The demonstrations began Thursday with a single protest in the eastern Iranian city of Mashhad over economic hardship, and the rate at which they spread took both the regime in Tehran and the U.S.by surprise.
The president's tweets haven't called for violence or disruptive acts, but he has commended the protests, expressing "such respect for the people of Iran as they try to take back their corrupt government" and pledging "great support from the United States". She said Iranian people are demanding their government stop spending their wealth on foreign fighters and proxy wars.
"Discussing the domestic situation of Iran by the council is a practice that is not in line with the council's responsibilities as outlined in the U.N. Charter".
"Let Iran deal with its own problems", said Nebenzia, who once again raised the idea of the Security Council meeting about protests in Ferguson, Missouri, and Occupy Wall Street demonstrations as the Russian mission to the United Nations did in a tweet on Tuesday.
A total of 21 people have died and hundreds have been arrested since December 28 as protests over economic woes turned against the Iranian regime as a whole, with attacks on government buildings and police stations.
Tehran prosecutor Abbas Jafari Dolatabadi said that 70 of the detained protesters have been released on bail during the last 48 hours.
The United States requested an emergency session to deliver a scathing rebuke of the Iranian government, and throw its full backing behind anti-government protesters.
Protesters in Germany called on the German government and the global community to condemn what they called "mass killings" on the streets of Iran.
Some 4,000 people - including former lawmakers, journalists, students and foreign nationals - were arrested in connection with those protests. "It is a powerful exhibition of fearless people who have become so fed up with their oppressive government that they are willing to risk their lives in protest".
"We must be wary of any attempts to exploit this crisis for personal ends, which would have the diametrically opposed outcome to that which is wished", Delattre added.
"The Iranian people are rising up in more than 79 locations throughout the country", Haley told the council.
"We will not be quiet".
Not all council members see a need to weigh in.
The Iranian government controls the media, and does not allow freedom of speech, so protesters are resorting to other means in order to get this story out.
Iranian authorities have declared the unrest over and held three days of large pro-government rallies across the country between Wednesday and Friday.
Trump vowed as a candidate to tear up the 2015 nuclear deal in which world powers lifted some sanctions in return for Iran curbing its nuclear program.