The violence reached a peak on May 14, when over 40,000 Palestinians took part in a violent riot along the border, according to the army, as well as smaller protests the next day.
A 14-year-old was among two people shot dead by Israeli fire in new clashes along the Gaza border on Friday, the health ministry said.
"The Hamas terrorist group is responsible for everything that happens in and from the Gaza Strip", an IDF spokesperson said.
Shadi's father Abdel-Aziz Abdel-Al today told Reuters that his son had died as a martyr.
Since the weekly protests of the Great March of Return began on 30 March, 177 Palestinians have been killed by Israeli soldiers.
The ministry removed a baby from their official death toll in May after The Associated Press reported she died from a pre-existing medical condition, not from Israeli tear gas as it had claimed.
Ashraf al-Qedra, Gaza's health ministry's spokesman, said a 12-year-old boy had been shot in the head and killed east of Jabalia in the northern Gaza Strip on Friday.
The Israeli military says it used force necessary to repel 13,000 Palestinians who massed at several points at the fence.
Another Palestinian, 28-year-old Hashem Hassan, said he saw Abdel-Al being shot 70 metres (yards) from the fence: "He threw a few stones, which flew just a few yards".
The clashes at the border, which Israel says are being orchestrated by Gaza's Hamas rulers, have included regular rock and Molotov cocktail attacks on troops, as well as shooting and IED attacks aimed at IDF soldiers and attempts to breach the border fence.
Asked about Abdel-Al's death, a military spokeswoman said only that troops had kept to their open-fire regulations. An Israeli soldier was killed by Palestinian sniper fire. But Washington has backed its ally in accusing Hamas of staging the mass-mobilization to distract from Gaza's poverty and governance problems and to provide cover for armed Palestinian border incursions. Early on Friday, several Palestinians crawled to the fence to throw a pipebomb at troops, who fired back, the military said.
The protesters want rights to lands Palestinians lost during the 1948 war of Israel's foundation, as well as the easing of a crippling blockade that Israel, with the help of neighbouring Egypt, has placed on Gaza to isolate Hamas and deny it weaponry. The brokering efforts have been complicated by Hamas's feuding with Western-backed Palestinian President Mahmoud Abbas, who has restricted funding to Gaza.