Praise be to Allah.
The Muslims are unanimously agreed it is perhaps not permissible for the Muslim girl to marry a non-Muslim, whether he’s Jewish, Christian or whatever else, because Allah, may He be exalted, states (interpretation associated with meaning):
вЂњAnd give not (your daughters) in wedding to Al-Mushrikoon till they think (in Allah Alone) and verily, a believing servant is preferable to a (free) Mushrik (idolater, etc.), despite the fact that he pleases you. Those Al-Mushrikoon that is you towards the Fire, but Allah invites (you) to Paradise and Forgiveness by His allow, and makes their Ayat (proofs, evidences, verses, classes, indications, revelations, etc.) clear to mankind that they may rememberвЂќ