BJP's caution came in the midst of statements by its leaders like Sangeet Som and Sakshi Maharaj besides Union minister Sanjeev Balyan over the Dadri lynching incident.
BJP also blamed the Samajwadi Party government in Uttar Pradesh for giving a political colour to the lynching incident in its bid to divert public attention away from the deteriorating law and order situation in the state.
According to sources, the party leadership has asked BJP members to adopt restraint and not make any statements that may flare up tempers and communal passion.
Sources add that the party has told them not to make provocative statements that may disturb communal harmony while visiting the area.
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The report filed by police with the Gautam Budh Nagar District Magistrate recommended filing of FIRs against the two leaders, besides a BSP MLA.
Som, the MLA from Muzaffarnagar, had on Sunday said they were capable of giving a "befitting reply" if "innocents were framed" in the lynching case.
"Chief Minister Akhilesh Yadav is trying to divert public attention away from the deteriorating law and order situation in the state by seeking to convert the incident into a political row. He is trying to cover up the failures of his government," a BJP leader said.
Meanwhile, describing the Dadri lynching incident as a "well-planned conspiracy", UP government today blamed BJP with Chief Minister Akhilesh Yadav saying some forces doing politics on communal lines were conspiring to defame his government.