India's Supreme Court on Tuesday declined to entertain an urgent plea alleging police brutality against students protesting in New Delhi under the banner of the Cockroach Janta Party (CJP), asking 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 alleged police action against students protesting at Jantar Mantar.

The chief justice also declined to view videos purportedly showing the police action, saying, "We don't want to watch any videos."

The remarks came a day after thousands of students took to the streets of New Delhi demanding the resignation of Education Minister Dharmendra Pradhan following a call by the CJP online movement.

Police used batons to disperse demonstrators as they attempted to march towards Parliament, escalating protests over alleged irregularities in major examinations. Protesters were seen running for safety as riot police moved in near the protest site.

Organisers of the demonstration condemned what they described as the authorities' heavy-handed response, claiming that hundreds of protesters were injured.

"It's a shameful day in the history of Indian democracy that people, honest students, who had come for a genuine issue were brutally beaten by the Delhi police," a CJP spokesperson said.

Meanwhile, the Delhi High Court on Tuesday declined to urgently hear a petition challenging the alleged use of excessive force by Delhi Police against students participating in the CJP's protest march to Parliament.

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