More than a hundred unarmed Palestinian protesters have been killed by Israeli fire in the unrest that flared up on 30 March at the start of the "Great Return March" demonstrations.
"This latest round of attacks is a warning to all of how close to the brink of war we are every day", said United Nations envoy Mladenov, speaking via video link from Jerusalem.
The International Committee of the Red Cross said it was stepping up its assistance in the beleaguered Israeli-besieged Palestinian enclave, and was sending in two surgical teams, additional medical specialists and supplies to help face the crisis.
"The people of Gaza do not need protection from an external source".
The Palestinians, for their part, want these areas - along with the Gaza Strip - for a future state of Palestine.
On May 14, the USA relocated its Israel embassy from Tel Aviv to Jerusalem, drawing condemnation from across the Arab and Muslim world and enflaming passions in the Palestinian territories.
The fact that it was blocked, Haley said the next day, is "outrageous", adding that denunciation of Hamas should have been a "no-brainer".
Hamas on Thursday hailed Kuwait's role in thwarting a US -proposed UN Security Council draft resolution regarding rockets fired at Israel from the blockaded Gaza Strip.
FILE - In this May 21, 2017, file photo, Israeli Prime Minister Benjamin Netanyahu, left and David Friedman, right, the new United States Ambassador to Israel attend a ceremony celebrating the 50th anniversary of the liberation and unification of Jerusalem, in front of the walls of the Old City of Jerusalem. "The people of Gaza need protection from Hamas". "We are at a crossroads", the officer said.
Khalil al-Hayya, a senior Hamas official, said Egyptian mediators intervened "after the resistance succeeded in warding off the aggression".
On Tuesday, Israel was reportedly hit by rockets fired from Gaza. "This vulnerable Bedouin community, who have already been expelled once by Israel from their former homes in the Negev area, are again threatened unjustly with forced removal", said Coveney.
Israel says its actions are necessary to defend its borders, accusing Hamas of encouraging thousands of Palestinians to break through the border and attack Israelis. They are angry about the U.S. Embassy's move from Tel Aviv to Jerusalem and their overall plight as Israel celebrates its 70th anniversary.