That raises the total Israeli death toll in the two-week conflict to 27, including two civilians.
The announcement came a day after 13 Israeli soldiers were killed in one day in what was the highest one-day death toll sustained by the army since the 2006 Lebanon war.
Meanwhile, the death toll in Gaza jumped to more than 550 on Monday following the bloodiest day in six years in the Palestinian enclave.
The military didn't elaborate on the circumstances of the seven deaths.
On Monday, Israeli tank shells slammed into a hospital in Deir al-Balah, killing four people, among them doctors, Gaza emergency services spokesman Ashraf al-Qudra said.
RA/NJF