Earlier Tuesday, Iranian Supreme Leader Ayatollah Ali Khamenei blamed the unrest on foreign powers whom he called the "enemies of Iran".
"The demonstrations are completely spontaneous", said Haley.
The demonstrations in Iran, which have erupted against a backdrop of rising food and gasoline prices, began Thursday in the northeastern city of Mashhad before spreading to other cities.
She noted that "dozens have already been killed", before harkening back to the failed Green Revolution in the first year of the Obama presidency. "We're not giving the aid", added Haley. "If the Iranian dictatorship's history is any guide, we can expect more outrageous abuses in the days to come".
"The UN must speak out in the days ahead, we will be calling for an emergency session", she said.
In her remarks, Haley also defended her veto last month of a Security Council resolution condemning Trump's declaration, in which he also vowed to move the American embassy to Jerusalem from Tel Aviv.
Haley told reporters at the United Nations that "we very much still want to have a peace process". The people of Iran are crying out for freedom.
"I stood proudly even if I was the only hand in the Security Council to fight for the will of the people of the United States", she said. "I don't think we should be silent".
South Carolina's senior senator also criticized the response of Iranian President Hassan Rouhani to the protests.
"The global community failed to do that in 2009", she added, referring to Iran's Green Revolution.
Trump added more fuel to the fire on Twitter by saying that the U.S. pays "hundreds of millions dollars a year" to the Palestinians and that Jerusalem, "the toughest part of the negotiation", is "off the table". "The president is willing to go to great lengths to stop all funding from Pakistan as they continue to harbor and support terrorism".
South Korea today offered talks with North Korea next week amid a standoff over its weapons programmes. "We're trying to move for a peace process but if that doesn't happen the president is not going to continue to fund that situation".
"So North Korea can talk with anyone they want but the U.S. is not going to recognise it or acknowledge it until they agree to ban the nuclear weapons that they have". Well, we're watching those votes.
Haley also spoke briefly about North Korea, calling United Nations resolutions "a great achievement" but emphasizing that work remains to ensure those resolutions are enforced.