The Congress president appealed for peace, while vice- president Rahul Gandhi stressed that violence and brutality had no place in society.
"@PMOIndia must put the interest and safety of Indians before his party's interests. @mlkhattar must resign," the party said on Twitter.
At least 30 people were killed and 250 injured today in widespread violence, arson and police firing in Haryana triggered by the rape conviction of self-styled godman Gurmeet Ram Rahim Singh, the head of Dera Sacha Sauda.
She appealed to the people to maintain peace.
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She also spoke with Punjab Chief Minister Amarinder Singh and asked the government of Haryana and the Chandigarh administration to ensure the safety of all citizens.
Rahul Gandhi, who left for Norway earlier today, condemned the "rampage and lawlessness" in Haryana and appealed for the restoration of peace.
"Violence and brutality have no place in our society. Condemn the rampage and lawlessness in Haryana and appeal to restore peace and tranquillity," he said on Twitter.
Former Haryana chief minister Bhupinder Singh Hooda also appealed for peace but said the government should have been prepared.
"The priority now is to restore law and order, peace and harmony. I appeal to the people of Haryana to maintain calm and ensure there is no loss of life or damage to property," he told reporters after violence broke out in Panchkula and other parts of the state in the wake of the conviction in the 2002 rape case.
He said Haryana had already suffered because of the "laxity" and "weakness" of the government during earlier agitations.