The Coordination Committee for Marches based in Gaza called on the participants for "burning of the Israeli flag and the raising the Palestinian one".
Gaza's Health Ministry says 112 Palestinians have been wounded by Israeli army fire or treated for tear gas inhalation, but did not provide a breakdown. "We will not allow, here on the Gaza border, them to hurt us".
IDF troops are responding with riot dispersal means and are firing in accordance with the rules of engagement.
In the camp, 37-year-old construction worker Omar Hamada said he is protesting to draw world attention to Gaza and get the border reopened.
Hamas' promise of a "Great March of Return" has particular resonance in Gaza, where two-thirds of 2 million residents are descendants of refugees, uprooted in the 1948 war over Israel's creation.
Gaza's Health Ministry said more than 1,300 Palestinians were wounded by live fire in the past two weeks.
Israeli troops have shot dead 30 Gaza Palestinians and wounded hundreds since the protests began, drawing global criticism of the lethal tactics used against them.
Thousands of Palestinians are staging a mass protest along Gaza's sealed border with Israel with some burning Israeli flags, throwing stones and torching tires.
No Israelis have been killed during the demonstrations, and human rights groups say the Israeli military has used live fire against demonstrators who pose no immediate threat to life. Israel has accused Gaza's Islamic militant Hamas rulers of using the protests as a cover for attacks and says snipers only target the main "instigators".
Rights groups have branded the Israeli military's open-fire regulations as unlawful, saying they permit soldiers to use potentially lethal force against unarmed protesters.
Organizers also again said they want the protest to be peaceful this week, but it is unclear to what extent they or even Hamas remain in control. Hamas has acknowledged that several of those killed were its members, and Israel has identified other fatalities as members of terrorist groups.
"We will return to Palestine, our villages and Jerusalem", Haniyeh said in a fiery speech at one of five protest camps set up along the border.
The second man killed was shot when he came close to the border fence in the southern Gaza Strip near the town of Khan Younis and died in hospital, Palestinian medical officials said.
The marches are scheduled to continue until May 15, the 70 anniversary for the establishment of the state of Israel.
The company Murtaja co-founded had been vetted for U.S. government funding, while an worldwide journalists federation said he was harassed and beaten by Hamas police in 2015.
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