Police said they lodged the FIR based on complaints filed by local residents in Kharagpur.
Earlier in the day, Chief Minister Mamata Banerjee warned the BJP of legal repercussions for carrying arms in processions yesterday and said law will take its course against such people.
"There will be no ABCD ... All are equal," she said.
"Taking out a procession with deadly weapons is illegal. We are taking appropriate legal action on police complaints filed over the issue. Law will take its own course. We are keeping a close watch on the situation," ADG (law and order) Anuj Sharma told PTI.
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"The state can file as many cases as it wants to. I have no regrets. What were the police and administration doing when arms were openly brandished during Muharram processions? At that time they didn't bother to lodge any case as it might disturb the vote bank of TMC," an unapologetic Ghosh said.
The Kolkata police has filed three suo moto cases against three organizing committees for taking out armed marches on Ram Navami.
Over 200 processions were taken out across West Bengal yesterday under the banner of Rama Navami Udjapan Samity to "unite the Hindus" against what they called "growing jihadi activities" in the state.
People, including students and minors were seen participating with swords and knives in some of the processions.