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.
"Rule of law is a pillar of democracy, let's respect it but govt must allow accurate reporting by media to ensure transparency & accountability," he tweeted later in the night.
Congress communications in-charge Randeep Surjewala tweeted, "Reckless violence, deaths & destruction in Haryana proves complete breakdown of law & order. Time for CM Haryana to own responsibility & quit (sic)."
Former Haryana chief minister Bhupinder Singh Hooda also appealed for peace but said the government should have been prepared.
Hooda said it was not the time for a blame-game but said the government should have been prepared and steps taken in advance to ensure law and order.
He said Haryana had already suffered because of the "laxity" and "weakness" of the government during earlier agitations.
With this tweet, the party attached the link to an article titled 'Job Security in Modi Cabinet is at an All Time High'.
"Anyone who says PM Modi is not doing his bit to combat unemployment need look no further than his Cabinet, where job security is at an all time high! Recognising the endemic mismatch of skills to portfolios in the BJP, the PM has adopted a zero-tolerance policy to resignations," it said in the article.
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