India's Supreme Court on Tuesday refused to hear an urgent petition alleging police brutality against students protesting in New Delhi under the banner of the Cockroach Janta Party (CJP), telling the petitioner's lawyer not to "waste" the court's time.

"Don't waste our time and yours," Chief Justice Surya Kant told the lawyer, who sought the court's intervention over the alleged police action against students demonstrating at Jantar Mantar.

The Chief Justice also declined to view videos purportedly showing the police crackdown, saying: "We don't want to watch any videos."

The remarks came a day after thousands of students marched through New Delhi, demanding the resignation of Education Minister Dharmendra Pradhan over alleged irregularities in major public examinations following a call by the CJP.

Police used batons and tear gas to disperse demonstrators attempting to march towards Parliament, with protesters seen fleeing as riot police moved in near the protest site.

Organisers condemned what they described as a heavy-handed crackdown, claiming hundreds of protesters were injured.

"It is a shameful day in the history of Indian democracy that honest students, who had come to raise a genuine issue, were brutally beaten by the Delhi Police," a CJP spokesperson said.

Meanwhile, the Delhi High Court also declined to grant an urgent hearing on a separate petition challenging the alleged use of excessive force by Delhi Police during the march.

"Don't drag the court into all this," a bench comprising Chief Justice D.K. Upadhyaya and Justice Tejas Karia told the petitioner, before scheduling the matter for hearing on Wednesday.