Hassan Nofel, 17, was hit in the face with a tear gas canister on Friday during a protest east of Al-Bureij in central Gaza, the ministry said.
Two Palestinian teenagers were killed and 17 others wounded by Israeli gunfire that day during protests and clashes along the heavily fortified frontier.
The Israeli forces "responded with riot dispersal means and fired according to standard operating procedures", a spokesman said.
At least 250 Palestinians have been killed by Israeli fire since then, the majority shot during clashes, though others have been hit by tank fire or air strikes.
Two Israeli soldiers have been killed over the same period.
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