In its 2017 verdict, the Supreme Court had upheld the death sentence the Delhi High Court and trial court had awarded to the convicts for raping the 23-year-old in a moving bus in December 2012.
A Supreme Court bench comprising Chief Justice Dipak Misra and Justices R Banumathi and Ashok Bhushan on Monday rejected the review pleas filed by Mukesh (29), Pawan Gupta (22) and Vinay Sharma (23), saying no grounds have been made out by them for review of the verdict.
This incident sparked massive outrage among the public who held protest marchs and candle-light vigils across the country demanding justice for Jyoti Singh.
Mukesh, Pawan and Vinay had appealed for a review of the death sentence.
Nirbhaya's mother Asha Devi said the delay in justice is "affecting other daughters".
The juvenile was convicted by the Juvenile Justice Board in 2013 and sent to a Special home for three years.
A fast track court had covicted four to death in less than year after the brutal gang-rape and murder of the paramedic student. Their sentence was upheld by the Delhi high court in 2014.
Rohan Mahajan, the lawyer representing the family of the gang-rape victim, said it was a "victorious moment". "I believe sooner they're hanged, better it is", said Mr Singh, who has been fighting for justice for his daughter since her death.
"I have been struggling for six years, and today I am satisfied that justice has been delivered". Mahajan told local ANI news agency.
In 2016, there were some 40,000 rapes reported in India, according to the most recent official figures available.
She said it had been a hard battle - but nothing compared to the 14 days she spent by her daughter's side as she fought and lost the battle for her life, reports the BBC's Divya Arya, who was at court.
The court said the death row convicts failed to point out "error apparent on the face of the record" in the judgment.
India has long exercised the death penalty as punishment for serious crimes; its last execution was in 2015 of Yakub Memon for his role in the 1993 terrorist bombings in Mumbai. It also led to major changes to laws on sexual crimes against women. "We will be distracted by this death sentence while this enables the state to abdicate its responsibility to protect women".
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