Palestinians see the eastern part of the city as the capital of their future state and the USA move broke with decades of global consensus that Jerusalem's status should be negotiated between the two parties.
Members of the American delegation were visiting a Palestinian Authority polling firm Thursday, AFP reported, when anti-US protesters gathered outside.
It was only Abbas' second appearance before the Security Council, after a 2011 visit in which he advocated Palestinian statehood.
President Donald Trump's decision to recognize Jerusalem as Israel's capital infuriated the Palestinians, who declared that Washington could no longer play a role as peace broker.
"Today, the situation of the US and Israel indicate their fear of the Zionist regime's collapse and the USA decline".
Abbas left the chamber before Israel and the United States had an opportunity to deliver their formal response.
"To solve the Palestine question, it is essential to establish a multilateral global mechanism emanating from an worldwide conference", Abbas said.
Palestinian Authority President Mahmoud Abbas, in a 30-minute address to the U.N. Security Council on Tuesday, said he no longer considers the United States to be an "honest broker" in Mideast peace and called for a multi-national alternative to the USA -led process.
"You can choose to denounce the USA, reject the U.S. role in peace talks and pursue punitive measures against Israel in global forums like the UN", Haley said.
"I think there is little appetite for other countries to step forward in the way the Palestinians envision", said Rumley. But there have been no serious negotiations since gaps widened following the 2009 election of Benjamin Netanyahu as Israel's prime minister.
Now the United States negotiators are calling him out for his refusal to accept Israel as a nation state of the Jewish people. "The choice, Mr. President, is yours", said Haley, referring to Trump's son-in-law and adviser, Jared Kushner, and US Middle East envoy Jason Greenblatt. "You made it clear, with your words and with your actions, that you are no longer part of the solution", Danon said. "We will present it when it is done and the time is right".
Saeb Erekat, the Palestinian negotiator, had said last month that Haley "needs to shut up and realize the Palestinian leadership is not the problem". "Once again he is running away", Danon said.
In security camera footage posted on social media and carried by Israeli news sites, soldiers could be seen kicking and striking a man, identified by Palestinian officials as Yassin Omar Serda, after detaining him in the town of Jericho.