Deeply saddened by the death of the girl, he joined the nation in conveying to her family and friends his deepest condolences at this terrible loss.
"I want to tell them and the nation that while she may have lost her battle for life, it is up to us all to ensure that her death will not not have been in vain.
"We have already seen the emotions and energies this incident has generated. These are perfectly understandable reactions from a young India and an India that genuinely desires change. It would be a true homage to her memory if we are able to channelise these emotions and energies into a constructive course of action," he said in his condolence message.
He said the need of the hour is a dispassionate debate and inquiry into the critical changes that are required in societal attitudes.
Government, Singh said, was examining on priority basis the penal provisions that exist for such crimes and measures to enhance the safety and security of women.
"I hope that the entire political class and civil society will set aside narrow sectional interests and agenda to help us all reach the end that we all desire making India a demonstrably better and safe place for women to live in," Singh said in his condolence message.
The Prime Minister said he prays for the peace of the departed soul and hoped that her family will have the strength to bear this grievous loss.
Shinde condoles death of gang-rape victim
Condoling the death of the gang-rape victim, Home Minister Sushilkumar Shinde today pledged to strengthen laws to ensure that such incidents are not repeated.
He also said that the real tribute to the 23-year-old victim will be to ensure maximum punishment to the culprits.
In a message to the family, he said, "A real tribute to her will be to ensure maximum punishment to the culprits.
"I pledge to work to strengthen the laws and ensure that such an incident never gets repeated again," he said.
The girl, who was gang-raped and brutally assaulted by six men in a moving bus in south Delhi, died in a Singapore hospital early this morning after battling for life for the past 13 days.
Sheila Dikshit appeals for calm
Delhi Chief Minister Sheila Dikshit Saturday appealed for calm following the death of the young woman who was flown to Singapore after her brutal gang-rape and torture.
Sheila Dikshit described the young woman's death as a "truly, terribly sad news".
"I appeal to you to be calm and peaceful," she said.
"So that in being calm and peaceful...we can reflect what we need to do in future," she added.
President condoles gang-rape victim's death
President Pranab Mukherjee Saturday condoled the death in Singapore of the young woman who was gang-raped here and called her a "true hero".
"I am deeply distressed by the unfortunate demise of the 23-year-old girl who passed
away early this morning in Singapore," President Mukherjee said.
The president said: "She was a brave and courageous girl who fought till the very last minute for her dignity and her life. She is a true hero and symbolises the best in Indian youth and women."
"I convey my condolences to her parents and family who have faced this adversity with
fortitude and grace. I pray that they have the strength to bear this loss. The nation
will mourn the passing of this brave daughter of India," he added.
Stressing that her passing away should not be in vain, the president said the government would "do everything possible to ensure that such an incident never happens again".
The president requested "everyone to maintain peace and calm".
He called upon the "authorities to take all necessary steps to bring the perpetrators of this ghastly crime to justice".