Israel says it only opens fire "below the knee" when necessary to stop infiltration, attacks and damage to the border fence, while accusing Hamas of seeking to use the protests as cover to carry out violence.
The Great March of Return, touted by so-called "human rights" groups and western media as "peaceful protests", continued its weekly assault on the Gaza-Israel border fence.
Hundreds of thousands of Palestinians were driven out of what is now Israel.
The South American country also hosts the largest population of Palestinians in any country outside the Arab world.
The border march on Monday will coincide with the historic movement of the US Embassy from Tel Aviv to Jerusalem.
Yahya Sinwar implied he would like to see thousands of Palestinians crossing into Israel in his first major briefing to worldwide media since becoming Gaza head in 2017. Thousands of Palestinians gathered at five different points along the border, an AFP correspondent at the scene said.
Sinwar said the mass protest would be "decisive", and vowed that he and other top officials were "ready to die" in a campaign to end the blockade. "So those two dates are a major cause for concern both for Israeli and Palestinian officials".
Palestinians hurled pipe bombs and grenades towards Israel Defense Forces (IDF) troops, sabotaged security infrastructure, burnt tires, and hurled rocks towards the security fence and at IDF troops, said a IDF statement on Friday evening.
Israeli forces have shot dead a 40-year-old man, Jaber Salem Abu Mustafa, east of Khan Younis, according to the health ministry.
No Israelis casualties have been reported, although several fires have erupted along the border after kites carrying improvised incendiary devices made their way into Israel.
Israel has warned that it will prevent any border breach. The Israeli regime has faced worldwide criticism over its use of live fire.
The Aksi Indonesia Bebaskan Baitul Maqdis (Indonesian Action for the Liberation of Jerusalem) was held at the National Monument (Monas) Park in Central Jakarta on Friday.
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