Arab ambassadors appeared jointly before reporters to call for an investigation into Israel's "crimes" and for the protection of the Palestinian people.
Monday was the deadliest day in the region since the 2014 Gaza war, as 60 Palestinians were killed and more than 2,700 wounded amid protests over the USA embassy's move to Jerusalem.
The killings took place during a huge protest by more than 40,000 Palestinians at a dozen sites on the border between Gaza and Israel.
"No one would. No country in this chamber would act with more restraint than Israel has", she added.
Palestinians have been protesting for the past six weeks as part of the "March of Return", a demonstration calling for the right of Palestinian refugees and their descendants to return to areas that are today part of Israel.
But Nikolai Mladenov, the U.N.'s Middle East envoy, said there was "no justification for the killing" and "no excuse".
The protests were directed at a crippling blockade imposed by Israel and Egypt after the Islamic militant group seized power in Gaza in 2007.
Ankara said that US President Donald Trump's decision to recognize Jerusalem as Israel's capital and open an embassy there was "violating worldwide law and all relevant UN Resolutions".
Earlier on Monday in a highly controversial move, the USA opened an embassy in Jerusalem, an ancient city holy to Jews, Muslims and Christians.
The U.S. says it has the right to decide where to put its embassy, and Haley said Tuesday the decision simply recognized "reality".
- Lindiwe Sisulu, International Relations and Cooperation MinisterWe recalled the ambassador to come and explain to us what is happening in Gaza. The group has ties to both Iran and Saudi Arabia, but is considered a terrorist organization by Israel, the USA and the European Union. That view was echoed on Monday by White House spokesman Raj Shah, who said blame for the violence at the Gaza border "rests squarely" with Hamas.
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. He didn't immediately give details of his proposal. And they came to denounce the USA embassy switch.
The protesters in South Africa want government to also expel Israel's ambassador.
Palestinian demonstrators in Gaza have challenged Israel's half-century occupation.
The Israeli military said it was responding to violence from the protesters to defend Israel's border.
Most of the 60 Gazans killed were shot by Israeli snipers, Gaza's health ministry said.
Nickolay Mladenov, the United Nations special coordinator for the Middle East peace process, briefed the Security Council by video link from Jerusalem.