The court said trial against Kumar will continue in the case.
The court also dismissed riot victim Sheela Kaur's plea to frame conspiracy charge against Kumar and four others in the case.
On May 24, the Delhi High Court reserved the judgment on the case.
The court on that day heard the arguments of both sides.
Lawyer HS Phoolka, who represented the victims of the riots, argued that criminal conspiracy should be added to the existing charges.
Kumar had sought quashing of charges of murder and rioting against him.
On Apr 29, the Delhi High Court had deferred its verdict on Kumar's plea.
Besides Kumar, accused Ved Prakash Pial alias Vedu Pradhan and Brahmanand Gupta had also moved the high court in connection with the case.
On July 2010, a lower court had framed charges against Kumar, Brahmanand Gupta, Peru, Khushal Singh and Ved Prakash in connection with the anti-Sikh riots case in which six people were killed in Sultanpuri area here.
The riots erupted in Delhi and elsewhere following the assassination of then Prime Minister Indira Gandhi on October 31, 1984.
Kumar and others were also charged for the offence of spreading enmity between two communities.
--IBNS (Posted on 16-07-2013)