Euro-Med stressed "Israel's response to protests violates the principles of global human rights law; that is, despite the fact that protests have largely been peaceful, Israeli soldiers killed 205 people, including five women and 38 children, while also injuring 22,527 others, 18% of whom are children".
Dozens of Palestinians attempted to approach the fence separating Gaza from Israel and several were able to cut through the fence.
According to Haaretz, the Security Cabinet convened for five hours late Wednesday after a number of rockets were fired into Israeli territory from Gaza.
This did not prevent Housing Minister Yoav Galant, however, from making provocative comments to reporters.
Gaza's economy has been ravaged by an Israeli-Egyptian blockade that was imposed after the Hamas takeover.
On its official website, the Brigades posted a brief video showing a Brigades fighter preparing to fire a salvo of rockets into Israeli territory.
Since the protests began, more than 150 Palestinians have been killed, including more than 30 children, and thousands of others have been injured.
"The Palestinian people continue to fight back with all of their power through the protests known as "The Great March of Return" and naval marches to break the siege, and we stand with our people, who participate weekly in such activities to achieve their demands for freedom and to be able to return to their homeland", the from Hamas and Palestinian Islamic Jihad read.
Euro-Med said in a statement "The Euro-Mediterranean Human Rights Monitor calls on the worldwide community to exert serious pressure to put an end to the targeting of Palestinian demonstrators in the Gaza Strip and to protect their right to peaceful assembly".
He cited World Bank figures showing official unemployment at 53 percent, with more than 70 percent of Palestinian youths jobless. The Israeli army said one of its aircraft targeted a group of men launching balloons.
Since March 30, Palestinians in the Gaza Strip have participated in a series of protests and riots dubbed the "Great March of Return", which have mostly involved the burning of tires and rock-throwing along the security fence, but have also seen shooting attacks and bombings as well as the sending of incendiary balloons and kites into Israel.
The Egyptian delegation - which includes Ayman Badie, Egypt's deputy intelligence chief - arrived in Gaza earlier Thursday through Israel's Erez border crossing.
Israeli forces heavily and continuously opened fire at protesters. Earlier, Israel halted Qatari fuel shipments to Gaza's power plant.
Since March, Palestinians have marched to the border fence every Friday and occasionally breached it.