The CPI headquarters here has been provided security cover by Delhi Police following threat perception, a senior party leader said.
"Yesterday, there was a report that some people will march towards our office, demonstrate, attack. So, I spoke to Lt Governor Najeeb Jung who spoke to police and the security personnel were deployed," CPI national secretary D Raja said.
He added the policemen would be deployed at the office for next few days.
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"I don't exactly know until when the policemen will remain there but we have cautioned the government and the Lieutenant Governor," he said.
Earlier, security personnel were deployed at the CPI(M) head office here in the wake of an attack allegedly carried out by members of a right-wing outfit on February 14, protesting against the Left party's stand over JNU row.
Both, CPI and CPI(M) have been criticising the Centre over the arrest of JNUSU president Kanhaiya Kumar.