One of the leaders of the march‚ and former Muslim Judicial Council president‚ Sheik Ebrahim Gabriels said they "respected and honoured" the South African government's withdrawal of its ambassador from Israel and he asked that the Israeli embassy in Pretoria be closed.
"We have no side here, except with the victims", he said, calling for an investigation into why so much live ammunition was used.
Palestinian medical officials say that 104 Gazans have been killed since the start of the protests in March, and almost 11,000 people wounded, about 3,500 of them hit by live fire.
The US ambassador left the Security Council chamber Tuesday at the start of a speech by Palestinian ambassador Riyad Mansour, who sharply criticized Washington's decision to move its embassy from Tel Aviv to Jerusalem in defiance of the worldwide body's resolutions.
Haley said Israel was facing Hamas extremists who incited people who lobbed flaming objects toward the Israeli side of the border fence and urged protest marchers to breach it. No country in this chamber would act with more restraint than Israel has.
Israel said some 40,000 Palestinians had taken part in "violent riots" at 13 locations near Israel's security fence along Gaza's eastern border.
"This cycle of violence in Gaza needs to end", said Nickolay Mladenov, the United Nations special coordinator for the Middle East peace process. While protests appeared to be lighter on Tuesday, during which Ramadan also began, casualties reportedly continued to rise as Israel responded with deadly force. He called on Israel to "recalibrate" its use of force and to use lethal force only as a last resort.
The organization also censured the timing of the opening of the US Embassy in Jerusalem on Monday, saying that it was motivated by right-wing political concerns in both America and Israel rather than resolving the conflict.
HALEY: Who among us would accept this type of activity on your border?
The U.S. says it has the right to decide where to put its embassy, and Haley said Tuesday the decision simply recognized "reality".
Another key finding: Israeli Jews' love for the US president.
"There is far too little discussion in the Security Council on Iran's destabilizing presence in Syria, its promotion of violence in Yemen, its support for terrorism in Gaza and its unsafe and illegal weapons buildup in Lebanon", Haley said.
"All parties to the conflict have a responsibility to ensure the protection of civilians, to respect worldwide law, avoid incitement to violence and to limit the use of force", he said. He didn't immediately give details of his proposal.
Citing widespread opposition in the United Nations to the embassy move, Mr Erdogan said: "The US claims to be powerful". -Israeli relations. But there's at least one group outside the United States that overwhelmingly supports the embassy move, according to a new University of Maryland poll: Jewish Israelis.
The Trump administration has placed responsibility for the violence on Hamas. Protesters set tires ablaze, sending thick plumes of black smoke into the air, and hurled firebombs and stones toward Israeli soldiers across the border.
The shootings come amid growing global uproar over the Israeli military's use of deadly force against unarmed protesters.
Brussels foreign ministry said it summoned ambassador Simona Frankel over remarks describing all Palestinian victims as "terrorists", while Prime Minister Charles Michel said, "we call for an worldwide inquiry led by the United Nations".
Israel isn't a U.N. Security Council member, nor are the Palestinians.
The embassy opening came as Israel marked the 70th anniversary of its establishment.
Israel blames Hamas for the poor conditions in the strip.
Each accused the other's country of violating worldwide law.
Tens of thousands of Palestinians had gathered on the edges of the enclave from midmorning Monday.
But US Ambassador Nikki Haley launched a stinging attack on Iranian aggression in the Middle East, deploring a "double standard", condemning Hamas provocation and said ally Israel had acted with restraint.