"It is very, very tragic that they are celebrating an illegal action while Israel is killing and injuring thousands of Palestinian civilians".
Protests began after the U.S. embassy was officially opened in Jerusalem on Monday (local time).
The dead from Monday's violence included eight children under the age of 16, according to Palestinian sources.
The council met after the bloodiest day for Palestinians since a 2014 Gaza war. Local authorities say at least 60 people have been killed in two days as crowds of people burned tires, hurled rocks and Molotov cocktails, floated incendiary kites, and attempted to destroy border fencing and illegally cross into Israel.
A number of countries expressed concern at the violence and some, including Germany and Britain, called for an independent probe.
It also complicates the search for a lasting solution to the Israeli-Palestinian conflict, said the chairperson in a statement.
"They can't do anything". All that we can do is demonstrate.
"It was a turning point because the worldwide community responded with shock and condemnation and the tide turned", she said.
There are a lot of diplomatic I-told-you-so's rocketing into Washington from around the world right now.
Enough killing of the Palestinian people!
Nepal Prime Minister requests Modi to provide exchange facility for demonetised notes
He completed his address in Hindi. "Our "Dhaam" is incomplete and Ram is also incomplete". The visits are seen as an attempt to mend the relations between the two countries.
Boyd Barrett also called for the immediate expulsion of the Israeli ambassador to Ireland, a call that was taken up by other speakers at the event and the crowd. Layla Moran, the first MP of Palestinian descent, said hope had "died" this week.
Turkey has been among the loudest critics of Israel's response to the recent protests.
The talks opened at United Nations headquarters in NY with a moment of silence for the 60 Palestinians killed.
Most of the protesters stay around the tent camps, but groups of youths have ventured closer to the no-go zone along the fence, risking live fire from Israeli troops to roll burning tyres and throw stones. The U.S. ambassador to the U.N., Nikki Haley, came to Israel's defense, saying no member "would act with more restraint than Israel has".
In fact the records of several countries here today suggest they would be much less restrained.
A Palestinian protester holds a rope during clashes after protests near the border with Israel in the east of Gaza Strip, 14 May 2018.
"It is unthinkable that while people are drinking champagne in Jerusalem, others are dying in Gaza", Noga Malkin, an activist with the left-wing movement Standing Together, said to the crowd.
A Foreign Office spokesperson, in a statement, said the move represents violation of worldwide law and several United Nations Security Council resolutions, in particular resolutions No. 476 and 478.
According to the Times of Israel, European foreign ministries on Monday slammed the United States decision to move its embassy to Jerusalem, saying "it violates global law, is unwise and is likely to exacerbate tensions, shortly before the embassy's dedication ceremony began in Jerusalem".
The embassy inauguration - which took place on the 70th anniversary of Israel's founding - followed Trump's 6 December recognition of Jerusalem as Israel's capital.
Adding he rejects "imperialist interference (.) against peace in the Middle East" and as a violation of worldwide law that "conceals the crimes of the State of Israel".
The Palestinians seek Israeli-annexed east Jerusalem as a capital. "Rather, the violence comes from those who reject the state of Israel in any location", she said.