The committee's near 200-page report has proposed a ban in hospitals, schools, government offices and on public transport.
It also recommends that anyone showing visible signs of "radical religious practice" should be refused residence cards and citizenship.
The interior ministry says just 1,900 women in France wear the full veils.
In its report, the committee said requiring women to cover their faces was against the French republican principles of secularism and equality.
"The wearing of the full veil is a challenge to our republic. This is unacceptable. We must condemn this excess," the report said.
The commission called on parliament to adopt a formal resolution stating that the face veil was "contrary to the values of the republic" and proclaiming that "all of France is saying 'no' to the full veil".
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