Prosecution witness Sheela Kaur, who recorded her statements in an in-chamber proceeding, told District Judge Poonam A Bamba that she received various phone calls threatening that her children would be killed if she named Kumar in the case, said senior advocate H S Phulka, who appeared for the victim.
According to court sources, Kaur told the court that she saw the Congress leader instigate a mob in the national capital's Sultanpuri area in 1984.
The accused told the court that the witness was unreliable and her testimony should not be believed, the sources said.
The court has posted the matter for further hearing on February 7.
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Kaur's husband, brother-in-law and father-in-law were killed in the 1984 riots.
The case was transferred from Karkardooma court to Patiala House court here by the Delhi High Court, which had directed the district judge to video record the proceedings at the cost of the accused.
The three accused are facing trial on charges of murder and rioting in the case pertaining to killing of Surjit Singh in Sultanpuri.
The proceedings in the case were earlier stayed after the victim and complainant Joginder Singh approached the high court seeking transfer of the case while alleging that evidence was not being properly recorded.