The victim's family claimed that they are getting life threats and their life is in danger asking the top court to transfer the case to Chandigarh.
The father, in his plea, had sought to transfer the case outside Jammu and Kashmir.
The top court will hear the Kathua case on April 27. The top court asked the state government to provide needed security to the family of Kathua rape victim and their lawyer. Appearing for the victim's father, she told the Supreme Court, "The atmosphere is not conducive to a fair trial". He had also said that he feared for the safety of his family. "She still has the time to save her image", he said.
This comes just a day after the eight people accused of raping and killing the eight-year-old girl pleaded not guilty and asked the judge for a narcoanalysis test.
Seven of the eight accused were produced before District and Sessions Judge Sanjay Gupta, who asked the state Crime Branch to give them copies of the chargesheet and fixed April 28 as the next date of hearing.
A five-member committee of the Bar Council of India (BCI) will visit Kathua area of Jammu and submit a report on the case of the gang rape and murder of the minor girl, Aasifa. After being missing for a week, her body was found on January 17.
Sanji Ram, the caretaker of the "devisthan" in a village in Kathua, about 90 km from Jammu, is listed as the main conspirator behind the crime.
The chargesheet has revealed gory details about the crime and this has led to a public outcry in various parts of the country.
Special police officer Deepak Khajuria, who is alleged to have repeatedly raped the child, told reporters from the police van that he was also demanding a narco test, also known as the "truth test", and a CBI probe. Hundreds were taken into custody for acts done in the name of hartal.