The incident comes amid tensions along the security fence in recent weeks, with the Palestinians holding mass marches near the border, and in some cases rioting, for the last six consecutive weekends. The fire burned for hours.
The army also said that "in addition, a number of suspects arrived near the border fence in order to destroy it" and that troops opened fire on them before they returned to the Strip.
The protest is set to culminate on May 15, when Palestinians mark as the "Nakba", or Catastrophe, commemorating their displacement in 1948.
According to Israeli media outlets, the army is considering retaliating for kite launches with air strikes against Hamas-run infrastructure targets.
According to Wafa, at least six Palestinians who approached the border fence east of the Maghazi refugee camp in central Gaza were shot, including one who was critically injured. He was treated at an Israeli hospital before being turned over to the Israel Security Agency for questioning.
After advancing toward the border fence, protesters would retreat when the Israeli army fired tear gas.
No Israelis have been hurt and Palestinians say protesters are being shot while posing no danger to soldiers.
14 of world's 20 most polluted cities in India
It also referred to the launch of a mobile app - SAMEER - for grievance redressal. Nearly 9 out of the 10 people breathe polluted air and is the most risky .
Palestinian medics evacuate a protester injured during the Great Return March in Gaza.
The Palestinians and human rights groups have criticised Israel for using live fire against the protesters.
Attempts by Palestinians in Gaza to cross into Israeli territory continued on Saturday, the IDF spokesman said.
The New York Times nowhere mentions any human rights organizations or the case before the Israeli high court.
The notion that the Israeli soldiers would hesitate to fire on the women in the frontiers were quickly rectified as over hundreds of women became victims to bullets and tear gases even in the early days of the March.
A Hamas member was arrested by IDF troops after trying to infiltrate Israel from Gaza at the Karni crossing on Sunday, the IDF said.
An Israeli military spokesperson denied that the Israeli military was involved.