Jamiat Ulama-i-Hind on Monday condemned the Delhi Police's "brutality" against the Jamia Millia Islamia University students and said its actions were "cruel and oppressive".
The Muslim body's president Maulana Arshad Madani, in a statement, said it was against any form of violence.
"What the Delhi Police, under the name of maintaining law and order, did with the students who were inside the campus, is cruel and oppressive, and we strongly condemn it," he said.
Madani said the protest is the democratic right of the citizens.
"But question is that why did violence occur during the protests and who is behind it? It should be investigated freely and fairly," he said.
Madani said the Jamia students had been protesting peacefully for the last several days against the Citizenship (Amendment) Act, and police were treating them "ruthlessly".
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The body alleged that videos on social media on the violence which have gone viral showed that some other people were setting fire to the buses.
"They are not students at all, it is very important to find out the reality of this. Like Jamia, the police have been cruel to the students of the Aligarh Muslim University. We have also condemned this ruthless behaviour of police inside the campus," the statement said.
Madani said the new law is not a matter of Hindu and Muslim, but a "trick" to pave the path to make India a "Hindu Rashtra".
"It is our democratic right to protest, and any kind of violence should be avoided during the protest and it should be kept in mind that this should not cause any harm to the common people. The history of the world tells that any movement cannot be crushed by power," the statement said.