The United Nations is not gathering information for an independent probe into Gaza border deaths at this time, spokesperson Stephane Dujarric said during a press briefing.
The military has said it responded only to violent attacks aimed at troops and the border fence.
The military's open-fire policies came under more scrutiny as amateur videos emerged purportedly showing two Palestinians being shot one killed and one wounded while not posing any apparent immediate threat to soldiers.
Majd al-Omari, who filmed the incident on his smartphone, said that just before the shooting, Abdelnabi had been involved in burning tires about 200 metres (yards) from the fence.
The army spokesman said soldiers followed strict rules of engagement, but would not say in which cases they used lethal force.
His mother, 39, said all nine of her children took part in the main protest - attended by tens of thousands - but Ali chose to go closer to the fence than the rest. The group has announced that it intends to file charges in worldwide forums against the IDF over the death of the terrorist, as well as for other acts, which they say involved Israeli security forces entering Gaza and shooting rioters to death.
Mahmoud, 22, was shot in his left leg on Friday while attending the first day of protests. Smaller groups moved closer to the fence, throwing stones or burning tires.
Palestinians say protesters were shot while posing no threat to soldiers and rights groups have criticised Israel's use of live fire.
Worldwide human rights groups criticized Israel's use of live ammunition on the protesters, while U.N. Secretary-General Antonio Guterres called for an inquiry into the deaths.
He said at least 11 of those killed were members of militant groups, including two who opened fire on soldiers near the border, but would not say how the others were killed.
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Credit card data was not breached either, the company said, because payment information is collected and processed separately. Under Armour also doesn't collect any government information, like Social Security numbers or driver's license information.
Al-Quds Bridgades, a military wing of the Palestinian Islamic Jihad organization, also announced that Arkab was a member of the Brigades.
Amos Gilad, a retired senior defence official, accused Hamas on Monday of cynically exploiting civilians, alleging the group "wants headlines through blood".
ESTRIN: Well, there were big rallies organized along the border.
"Israeli soldiers did what was necessary".
Israel is prepared to help Gaza rehabilitate itself economically if Hamas agrees to demilitarize the area, Liberman said.
Hamas has been further weakened by global isolation and financial pressure by the internationally recognized Palestinian Authority, along with three wars against Israel.
Protests are to continue until May 15, the 70th anniversary of Israel's founding.
The date is mourned by Palestinians as their "nakba", or catastrophe, when hundreds of thousands were uprooted in the 1948 Mideast war over Israel's creation.
Hamas leaders have invested $260 million in terror infrastructure in Gaza rather than in water, electricity or education for their people, charged Liberman. Life in Gaza has become increasingly harsh after more than a decade of closures, with residents enduring daily power outages lasting hours.
Israel accuses Hamas, the resistance group that runs Gaza and with whom it has fought three wars since 2008, of using the protest as cover to "carry out violence".