Farage suggested that there are sections of Muslim community that were "becoming even further away from what we would call the Judeo-Christian culture of the United Kingdom and that is a problem," The Guardian quoted the politician as saying in the interview.
In the interview, Farage stated that there were 80 sharia courts operating in the United Kingdom.
"I've got no problem with different religions and different groups having their own private observance, but the law should be law," Farage said, The Guardian reported.
The UKIP leader also highlighted the issue of female genital mutilation, undertaken in some Muslim communities, and the sexual grooming of girls by men of predominantly Pakistani origin in Yorkshire.
"And I think we've seen two very glaring examples of where this has gone horribly wrong. The first is… female genital mutilation, where there have been tens of thousands of cases of this in the United Kingdom and there's not yet been a single prosecution," Farage said.
Last week, Farage was criticized by politicians, including UK Prime Minister David Cameron and Deputy Prime Minister Nick Clegg, for using the Paris attacks to get political gains.
On January 7, the Paris office of satirical magazine Charlie Hebdo was attacked by gunmen, resulting in 12 dead and 11 injured. The two terrorists, who reportedly pledged allegiance to al-Qaeda, were killed by the police. On Friday, an armed man, reportedly an Islamic State supporter, took several hostages and opened fire in a Jewish food shop in Paris. Killed by the police, the man was also suspected of shooting a police officer on Thursday in a suburb of Paris.