A bench of justices Sanjiv Khanna and R K Gauba upheld Jha's conviction in all the three cases but modified the death sentence awarded to him in two of the cases to life imprisonment till death.
"We uphold the conviction in all the three cases. He is sentenced to life term without remission for rest of his life," the bench said.
In one of the three cases of murder, the trial court on February 4, 2013 had awarded life term till death to Jha for decapitating his victim and dumping the body near the Tihar Jail daring the police to nab him.
Jha, a native of Madhepura in Bihar, was sentenced to life term till death in a case relating to killing of one Dilip, whose headless body was dumped near Tihar Jail in 2007.
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On February 5, 2013, Jha was sentenced to death in the second case of identical crime by the same trial court, saying his offence fell under the "rarest of rare case" as the brutality committed by him showed he "cannot be reformed".
On February 6, 2013, Jha was awarded death penalty in yet another crime of beheading and chopping the body parts of a victim by the trial court which said he committed the murder in an "extremely brutal, diabolical and revolting manner".
In this case, Jha had murdered one Anil Mandal in 2006 and dumped his body outside the jail after chopping off the head and limbs.
Jha was arrested by the Delhi Police in May 25, 2007 in Mianwali Nagar here. He was earlier arrested in 1998 in a murder case but was acquitted for want of evidence.
After committing the murders, Jha had even dared the police by writing several letters to them to nab him, saying he would send similar "gifts" after every 15 days.