Senior advocate Vikas Singh, representing Kumar, said that his client be granted bail as if something happens to him in jail then his life imprisonment would become death penalty for him.
Kumar was convicted and sentenced to life for the remainder of his life by the high court on December 17 in the 1984 anti-Sikh riots in Raj Nagar area.
The former Congress leader had sought more time, till January 30, to surrender saying he has to settle family affairs related to children and property and also needs time to file appeal in the Supreme Court against the high court verdict.
Kumar, who was directed by the high court on Monday to surrender before authorities by December 31, sought more time saying he has to settle family affairs.
A Delhi court on Thursday awarded life imprisonment to three of the five convicts in a 29-year-old case relating to 1984 anti-Sikh riots.
A key witness, who lost five of her family members in the 1984 anti-Sikh riots in New Delhi, on Saturday identified senior Congress leader Sajjan Kumar as the person who had instigated the mob during the carnage. Jagdish Kaur, the witness who was cross-examined on Saturday by the defence counsel before the court of Additional Sessions Judge Sunita Gupta, also identified Sajjan's nephew Balwant Khokkar, Girdhari Lal and Captain Bhagmal as accomplices.
The Delhi high court on Monday sought the response of the Central Bureau of Investigation and the two persons, who were sentenced to three years in jail for rioting in a 1984 anti-Sikh riots case, on the plea of victims' families challenging the trial court verdict acquitting them of murder charges.
The Delhi high court called the anti-Sikh riots case "communal frenzy" after the then prime minister Indira Gandhi was assassinated by her bodyguards.
Kumar, 73, surrendered before a trial court on December 31, 2018 to serve his sentence in accordance with the Delhi high court's December 17 judgment, which convicted and sent him to prison for the "remainder of his natural life".
Four veterans of the Indian National Army, an all-women contingent of the 183-year-old Assam Rifles marching down Rajpath and an Indian Air Force aircraft flying using a mix of traditional and biofuel.
The parade began after President Ram Nath Kovind conferred the Ashoka Chakra -- India's highest peacetime gallantry award -- to Lance Naik Nazir Ahmad Wani, a militant-turned-soldier who laid down his life fighting a group of terrorists in Shopian in Kashmir in November.
A bench of justices G S Sistani and G P Mittal also asked Kumar to appear before the Registrar General of the high court to furnish bail bonds on September 2 in the case.
The appeal filed by Jagdish Kaur and Nirpreet Kaur, who had lost their close relatives in the carnage following the assassination of then prime minister Indira Gandhi, has sought setting aside of the trial court's April 30 judgment. They have in their plea filed through advocate Kamna Vohra contended that the verdict was "erroneous" as the trial court had failed to appreciate that there was ample legally admissible evidence against Kumar to show he had allegedly "engineered" the murders of five Sikh persons in Raj Nagar area of Delhi Cantonment
The trial court declined the plea of Kumar's lawyer that he be sent to high-security Tihar Jail.