The CPI(M) leader allegedly made the statement yesterday while addressinga meeting against "RSS attacks" on CPI-M workers at Payyannur in politically sensitive Kannur district.
He made the remarks while referring to the murder of party leader Dhanaraj allegedly by BJP workers on July 11.
Reacting to Balakrishnan's statement that party cadres should defend themselves during attacks, KPCC President V M Sudheeran said it was a public call for violence and challenge to law of the land.
KPCC also sent a letter to Kerala Chief Minister Pinarayi Vijayan, demanding registration of a case against the CPI(M) leader.
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BJP State President Kummanon Rajasekharan alleged that the CPI(M) wasencouraging violence in Kerala.
The statement was an indication that CPI(M) would extend all support to party cadres in their attacks on BJP-RSS activists, he said while inaugurating the new party headquarters building here.
A BJP delegation led by former state president P K Krishnadas met state DGP Loknath Behra and lodged a complaint against Balakrishnan for his "inflammable" speech.
The DGP assured the delegation that necessary steps would be taken after examining the issue, Krishnadas said.