In a 75-30 vote with 74 absentees on Thursday, Danish lawmakers approved the law.
Technically the law bans any full-face garment where there is no "recognisable purpose" for wearing it, such as cold weather or complying with laws such as wearing helmets on motorcycles.
Those violating the ban will be forced to pay 1,000 kroner (£118; $157), with fines ten times higher for repeat offenders.
France, Belgium, the Netherlands, Bulgaria and the German state of Bavaria have all imposed some restrictions on full-face veils in public places.
However, the law which was presented by the country's centre-right coalition government, said that its objective is not to aim at any particular religion and it does not ban headscarves, turbans or the traditional Jewish skullcap, reported The Guardian.
The new law, which will block conservative Muslim women from wearing face veils, does not explicitly address Islamic clothing.
'If the intention of this law was to protect women's rights it fails abjectly.
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'This ban will have a particularly negative impact on Muslim women who choose to wear the niqab or burka. The study said that of the 150 women who wear the Islamic face veil in Denmark, around half are ethnic Danes who converted to Islam.
Justice Minister Soren Pape Poulsen in April said the Danish police will not forcibly remove veils from women.
Lamia El Amri, chair of the worldwide advocacy group European Forum of Muslim Women, told HuffPost earlier this year that burqa bans are a reflection of a "dangerous rise" in Islamophobic political rhetoric in Europe.
Denmark has passed a law banning Islamic veils such as the niqab, which is worn here by a female protester in front of Russian Consulate in Istanbul on February 22.
Governments may restrict rights to freedom of expression or religion, such as expressed through clothing, but only when such restrictions are proportionate and on reasonable grounds.
In early 2018, the Danish Parliament introduced a new process called the "Citizen's Initiative" that allows people to put items of interest on the parliamentary agenda, provided they have the support of 50,000 individuals. Danish Prime Minister Lars Løkke Rasmussen said in 2010 that "the burqa and the niqab do not have their place in the Danish society".