The court had reserved the order against him in December last year. It has now posted the matter for hearing on May 15.
Besides the Congress leader, co-accused Ved Prakash Pial alias Vedu Pradhan and Brahmanand Gupta had also moved the high court against framing of charges against them in the case.
Apart from murder and rioting, a lower court in 2010 charged Mr Kumar and others for spreading enmity between two communities in the Sultanpuri case.
Mr Kumar, along with five others, is also accused of allegedly inciting a mob to kill five Sikhs in the Delhi cantonment area in 1984. He has been charged with rioting, dacoity, murder, inciting violence, and damaging public property in that case. The verdict is likely to be delivered in this case tomorrow.
This is one of the three cases against the former Congress MP from Delhi. The five others who are facing trial for their alleged role in the killings are - Balwan Khokkar, Kishan Khokkar, Mahender Yadav, Girdhari Lal and Captain Bhagmal.
The CBI concluded its arguments in the case last week.
In 2010, the Supreme Court refused to quash the charges against Mr Kumar and said the trial would continue against him. It had also pulled up the CBI for failing to conclude its arguments and taking too much time.
The case against Mr Kumar was registered in 2005 on the recommendation of the Nanavati Commission. The CBI had filed two chargesheets against him and the other accused in January 2010.
Earlier this month, a Delhi court reopened an anti-Sikh riots case against another Congress leader Jagdish Tytler. He is accused of inciting a mob that killed three men during the riots.
The 1984 anti-Sikh riots broke out after the assassination of the then Prime Minister Indira Gandhi on October 31, 1984. Ten different commissions and committees have looked into the 1984 riots in last three decades.