Nupur Sharma's comment triggered clashes in Uttar Pradesh.
The BJP on Sunday said it "strongly denounces insult of any religious personalities" amid a massive backlash and violence over spokesperson Nupur Sharma's comment on Prophet Muhammad. The party, however, made no direct mention of any incident or comment.
"During the thousands of years of the history of India, every religion has blossomed and flourished. The Bharatiya Janata Party respects all religions. The BJP strongly denounces insult of any religious personalities of any religion," it said in a statement.
"The Bharatiya Janata Party is also strongly against any ideology which insults or demeans any sect or religion. The BJP does not promote such people or philosophy," it said.
"India's Constitution gives the right to every citizen to practise any religion of his/her choice and to honour and respect every religion," the party said.
"As India celebrates the 75th year of its Independence, we are committed to making India a great country where all are equal and everyone lives with dignity, where all are committed to India's unity and integrity, where all enjoy the fruits of growth and development," it added.
Nupur Sharma's comment during a TV debate last week, purportedly insulting the Prophet, had triggered a huge outcry and protests from Muslim groups.
At least 40 people, including 20 police personnel, were injured during the clashes after two groups clashed on Friday in Uttar Pradesh's Kanpur over a call to shut down markets following the controversial remarks.
One group opposed the shutdown call by the other group, leading to clashes involving incidents of stone-throwing. The police had to fire tear gas shells to disperse the crowd and prevent further violence. The police have arrested 36 people and filed cases against 1,500.
Prime Minister Narendra Modi and President Ram Nath Kovind were at a function 80 kilometres away from the spot when the clashes broke out.
Nupur Sharma has also been named in multiple police cases in Maharashtra over her comment. She has denied any wrongdoing and claimed that she has been receiving death threats.
The BJP's clarification came on a day when a wave of anger in Arab nations against the comment and a now-deleted tweet by another spokesperson of India's ruling party spilled onto social media with trending hashtags and calls for a boycott of Indian products.