The Delhi BJP chief along with Leader of Opposition in the Assembly Vijender Gupta addressed the press conference sporting black armbands in protest over the issue.
Police had sought sanction from the Delhi government to prosecute Kumar and others in the sedition case.
Chief Metropolitan Magistrate Manish Khurana on July 23 passed the order after Delhi police told the court that no sanction has been received from authorities to prosecute Kanhaiya Kumar and others.
Kanhaiya Kumar, contesting from Begusarai, is facing stiff competition from seasoned politician and Union minister Giriraj Singh. Begusarai goes to polls in phase 4 on April 29
It accused the police of filing the charge sheet secretly and in a hasty manner without obtaining the required sanction from the competent authority.
The court listed the matter for further hearing on March 11.
Delhi Police has sought permission from the city government for prosecution in the case.
The Delhi Police in January filed a chargesheet against former Jawaharlal Nehru University Students' Union (JNUSU) president Kanhaiya Kumar and others in the sedition case registered in 2016.
The court told the police to ask the authorities concerned to expedite the sanctions.
The AAP-led Delhi government is seeking legal advice with regard to granting sanction for prosecution in the JNU sedition case.
An AAP government spokesperson said no file seeking any prosecution sanction in any JNU-related case had so far been brought to the notice of any Delhi minister.
The police told Metropolitan Magistrate Deepak Sherawat they will procure the required sanctions within 10 days.
Former members of the JNU ABVP unit have claimed that the students seen raising slogans of ‘Pakistan Zindabad’ were actually ABVP members or supporters
The 10 students have been accused of organizing an event on the college campus against the hanging of 2001 Parliament attack mastermind Afzal Guru in 2016
The Delhi Police also charged former students -- Umar Khalid and Anirban Bhattacharya -- for allegedly shouting anti-India slogans during an event organised on JNU campus on February 9, 2016 to commemorate the hanging of Parliament-attack mastermind Afzal Guru.