The attacks come after the latest in a string of rocket attacks from the Hamas-ruled region into southern Israel.
Four of the strikes took place near the town of Khan Younis, where two Israeli soldiers were killed in clashes with Palestinian gunmen last week.
The Israeli offensive was designed to counter rocket attacks from militants in Gaza but they have resumed sporadically in recent weeks, provoking regular Israeli air strikes.
The fresh attacks, carried out in the early hours of Friday, signal Israel’s toughening stance in response to militant activity in Gaza.
In a statement, the Israeli military said Israel would “not tolerate terrorist activity inside Gaza that threatens Israeli citizens”.