Israel conducted raids on the Al Shifa hospital twice, in November 2023 and April, claiming that the hospital had served as the headquarters of Hamas.
Three more readings by parliament are required before the law comes into force.
“They don’t need to be here. It’s not their place,” Mr Ben-Gvir said.
Around 18,000 members of the security forces will be deployed on election day as some 6.8 million eligible voters cast their ballot.
The Israeli Security Agency said members of a Hamas group in East Jerusalem were attempting to murder Israeli politicians.
