The law is aimed at those who wear Islamic garments such as the burqa (a veil that covers the entire face with a grid at eye level) and the niqab (which only exposes the eyes) but also to those who use a full-face helmet or balaclavas, which are quite common during low temperatures.
The partial prohibition - which does not include the street - affects hospitals, schools, transportation (trains, buses and trams) and public buildings such as town halls, police stations, ministries or some state-owned museums.
"I understand that it is a strange sight to see a woman walking around in a black niqab and that it can even scare children," Said Bouharrou, Vice President of the National Council of Moroccan Mosques in the Netherlands, told Efe news.
"We think this is symbolic politics and a solution to a problem that we don't have in the Netherlands."
"The consequences of the burqa-ban by a government will create more damage than it will give solutions and social cohesion in society," he said.
In the multicultural neighbourhood of Schilderswijk, in The Hague, a group of five Muslim women - who refuse to share their names - declare themselves against the use of the Islamic garment that hides the face, but they told Efe they condemned the ban because they considered it to have "a racist base that targets the Muslim community".
The Dutch women's movement "Get away from my niqab" fear that this law could empower people to enforce the law of their own accord.
Transport drivers are also concerned civil may take matters into their own hands generating more security issues than existed before the ban came into force.
On the other hand, some consider people have the right to cover their faces.
DENK, a party founded by two Turkish-Dutch members of the House of Representatives which holds seats in the city halls of The Hague and Rotterdam, called for resistance to the new law and offered to pay the fines of affected women.
"It is about the constitutional rights and freedoms that we all must respect," said spokesman Cemil Yilmaz.
"We are concerned not only with the freedom of religion but also with the negative effects such as stigmatization, polarization and isolation that accompany the symbolic policy of this legislation," Yilmaz added.
Both Liberals and Democrats in the governing coalition warned that any rebellion jeopardizes compliance with the law and urged the police to make this ban one of their priorities.
( With inputs from IANS )