The legislation, which also provides for a ban on mobile phones in high schools, would make France the second country to take such a step following Australia's ban for under-16s in December.
Israel said it would only allow pedestrians to travel through the crossing as part of its "limited reopening" once it had recovered the remains of the last hostage, Ran Gvili.
Although "Sinners" topped the Oscars nominations, "One Battle" was still strongly favoured in this year's awards season, having won almost every precursor prize so far this awards season.