The party also accused Congress of being responsible for the crisis, saying Aam Aadmi Party (AAP) had been propped up by it and it was a "joint operation" between the two parties.
"There is on display a 'Federation of Anarchists' on the streets of Delhi," Bharatiya Janata Party leader Arun Jaitley said while commenting on Arvind Kejriwal's dharna to press for suspsension of some police personnel.
"Today a party which aspires to become a national party de facto threatens to disturb the Republic Day. Its conduct is a challenge to constitutionalism," he said, adding the members of AAP comprise "supporters of the separatists in Jammu & Kashmir and the maoists in Chhattisgarh".
BJP spokesman Prakash Javadekar accused Arvind Kejriwal of doing a U-turn quite often and sounding like a Naxal.
"Today Arvind Kejriwal has said Republic Day celebration is nothing but a procession of floats. This is an insult to the nation, to the people and to the defence forces. Country got its Constitution on this day and such language is a challenge to the Constitution as well," he said, adding Arvind Kejriwal is "talking like Naxals do in tribal areas".
Describing Arvind Kejriwal's protest as nothing but anarchy, Jaitley said "anarchy cannot be alternative politics".
He also blamed Congress for the "crisis", saying it supported AAP just to keep Bharatiya Janata Party out of power as Arvind Kejriwal did not have mandate to rule Delhi with BJP bagging more seats than AAP.
"Obviously, Congress is responsible for the crisis as these people (AAP) have been propped up by it," he said.
Party spokesman Prakash Javadekar said, "This is a joint operation of AAP and Congress which has led to an anarchic situation in Delhi. Both have reasons for doing this."
He charged that Arvind Kejriwal wants to duck questions about the action he had promised to take against corrupt ministers of the Sheila Dikshit government.
Calling Arvind Kejriwal a demagogue who had admitted that he was an anarchist, Jaitley took a dig at him saying he was now calling for Delhi police to be brought under his government after arguing during the Lokpal movement that CBI can not be under the control of the Centre.
"The utterances of its leaders lack in civility. AAP has displayed political adventurism, extreme arrogance, lack of civility in public discourse, scant regard for the rule of law, and the least concern for established institutions," he said in a statement.
Javadekar said, "Arvind Kejriwal has launched this agitation to save the indicted ministers. Last year he ran away from Anna Hazare's agitation at Jantar Mantar saying nothing will be achieved by it and we should come to power. Now that he is in power he is saying let us take to the streets. This is just a diversionary tactic."
Congress, on the other hand, is aware that it cannot face BJP's Prime Ministerial candidate Narendra Modi and needs AAP as "crutches".
"AAP is engaging in this drama as it is looking for an excuse to get out of power," Javadekar said.
Describing Arvind Kejriwal's words as "anti-people", he said every patriot will condemn this attitude towards a national festival.