The party also made an appeal to people for peace with former Chief Minister Bhupinder Singh Hooda and a number of other party leaders sitting on a fast here, urging for calm and amity.
Congress' chief spokesperson Randeep Singh Surjerwala asked the government to do its duty by taking stern measures to prevent violence and hold talks with all sections of society.
"BJP governments whether at the Centre or states are dividing people on religious and regional lines and unfortunately in Haryana, the land of gods, it is dividing the state on caste lines.
"On the contrary, the BJP government created such an atmosphere with its illogical and provocative comments that it failed to control the situation," he said.
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Talking to PTI, the former Chief Minister cautioned people, asking them "not to fall prey to the designs of those, who want to rupture the social fabric of Haryana".
"My appeal is to restore peace and amity. I have also asked all our party MLAs and former MLAs to hold peace meetings in their respective constituencies," he said.
Hooda, however, refrained from blaming anybody and declined to go into the reasons for the stir, saying "this is not the time to do so".
"Priority of the hour is peace. I appeal to all not to engage in violence and bring peace," he said.