Earlier this year a government committee had voted strongly against the ban, Swiss news service 20 minuten reported.
The ruling will have to undergo further scrutiny and votes before it could be made law.
Members voted in favour of a ruling that “no person shall cover his face in public places and in places or hide in the public domain or the provision of public services (excluding sacred sites).”
Blick am Abend reported that CVP National Councillor Elisabeth Schneider-Schneiter said: “The Burqa is an expression of misogynistic Islamist ideology. This symbol we need to halt. ”