Palestinian Health Ministry spokesman Ashraf al-Qudra said in a statement Monday that the medical teams described the wounds of the injured as "medium".
They have claimed to be targeting protesters posing a threat to what they call the Israeli border but footage showing Palestinians being shot while praying or running away from the fence has discredited those allegations.
He called for an global investigation to uncover the weapons used by the Israeli army against Palestinian demonstrators.
Fatalities from the March 30 violence on the Israel-Gaza border identified by Israel as members of terror groups.
Israeli radio and TV anchor Kobi Meidan has been threatened with dismissal from Israeli army radio after he commented on Israeli crimes against peaceful Palestinian protesters in Gaza that took place on Friday. These figures could not be independently verified.
The Israeli Defense Forces said Palestinians rolled burning tires at the lines and threw stones, prompting soldiers to open fire at "the main instigators".
There were no casualties among Israelis. The army in response accused Hamas of editing and/or fabricating its videos.
The spokesman urged global, humanitarian and human rights organizations to take action and file lawsuits against Israel for targeting peaceful demonstrators.
Human rights groups have accused the army of using excessive force, and both the United Nations secretary general and the European Union's foreign policy chief have urged an investigation. Israel and Egypt have maintained the blockade since Hamas, an Islamic militant group sworn to Israel's destruction, seized control of Gaza in 2007. It was the area's deadliest violence since a war four years ago.
A Palestinian protester wearing an Anonymous mask holds a knife during clashes with Israeli security forces near the border with Israel, east of Khan Younis, in the southern Gaza Strip, on April 01, 2018.
The Land Day is an annual Palestinian commemoration of the deaths of six Arab Israeli citizens killed by Israeli forces in 1976, during demonstrations against government land confiscations in northern Israel.
The army has remained on high alert even as the violence appeared to abate Friday evening, amid fears of persisting attacks, including infiltration attempts and rocket fire.
Four of the 15 dead were members of the Hamas military wing, Hamas said Saturday. The vast majority of Gaza's two million people are their descendants.
Thousands of Palestinians Friday launched the Great March of Return in the besieged Gaza Strip to demand their right of return to their villages and towns they were forcibly displaced from in 1948.