Ashraf al-Qedra, spokesman of the Health Ministry in Gaza told reporters that Abdulla Abdel Aal, a 24-year-old from the southern Gaza Strip town of Rafah, died after he was shot by Israeli soldiers in his abdomen.
Israeli forces shot and killed a Palestinian on Friday during weekly protests along the border with Israel, Gaza health officials said.
The Israeli army regularly detains and opens fire on unarmed Palestinian fishermen, shepherds, and farmers along the border areas if they approach the unilaterally declared buffer zone.
Four children and a paramedic were reportedly among the injured.
The latest deaths come amid protests following the worst fighting seen in Gaza since the war in 2014.
Palestinian factions in the Gaza Strip have warned in recent days of the consequences should Israel fail to abide by its side of the agreement, and implement humanitarian measures.
Protest organizers are calling for a massive march on May 15 to mark the 71st anniversary of what Palestinians call the Nakba, or "catastrophe", when hundreds of thousands of Palestinians were forced from their homes in 1948 that led to the establishment of the Israeli regime.
"After we exposed the anti-Semitism and terror ties of the BDS organizations and discovered dozens of internet bots and fake accounts aimed at pressuring musicians to boycott the contest, we have launched a website aimed at exposing their lies and presenting Israel as a truly: diverse, handsome and astonishing country", said Minister Erdan. "Israel - a country where openness, freedom of expression and the freedom to live and let live have become its main characteristics".
An Israeli army spokeswoman said approximately 6,000 people took part in the demonstrations.