The controversial legislation has already sparked arrests. Kenza Drider was the first woman to be bundled into a police van for defying the law.
On the day the ban came into force, she travelled from Avignon to Paris to join a small protest of fully-veiled women outside Notre Dame Cathedral.
Before she was taken away she said it was for her a matter of conscience to not comply with the 'burka ban', saying: "I'm just expressing my freedom to be.
"That's European law. This law violates European laws as they stand today."
Madame Drider, who has worn the veil for the past 11 years, said she would challenge the new law in the European courts.
She claims the ban breaches a basic human right of freedom of expression.
Although France is the first country to fully implement the law other European nations are treading a similar path.
Belgium has already passed a law in its lower house banning the wearing of the veil, but because of the political crisis in the country it is yet to be ratified by the senate.
Policemen arrest a niqab veiled woman during an unauthorised protest in front of Notre Dame cathedral in Pairis.
Policemen arrest a niqab veiled woman during a protest in Paris
The Netherlands, Italy and Germany are also discussing the possibility of a ban.
French officials say the move is a measure to protect women's rights and liberal French values.
Women who break the law can be fined 150 euros (£132).
Anyone found guilty of forcing a woman to wear the veil could be fined up to 30,000 euros (£26000) or be sentenced to a year in jail.
There is though another side to the argument according to many European Muslims.
They claim the law stigmatises them for their faith - they also feel the legislation is unnecessary, unfair and divisive.
Alex Rossi: 'Response expected to be fairly muted'
Grazza Hanji is a Syrian exchange student living in Belgium.
She believes the French law represents a shift in Europe's politics to the right, saying: "European ideals are supposed to be about freedom.
"How is freedom helped by stopping women from wearing what they want?"
Although France has the largest Islamic population in western Europe only a tiny proportion of the country's five million Muslims wear the full veil.
The French government puts the figure at no more than 2,000.
Most women are expected to comply with the ban but a few say they will remain true to their beliefs and risk arrest by staying covered up in public.
SKY