A bench of justices M B Lokur and U U Lalit issued notice to these companies and sought their reply on the plea by January 9.
Advocate Aparna Bhatt, appearing for petitioner NGO Prajwala, said that rape videos are shot and posted on the social networking sites and the internet companies should take steps to curb such cybercrime.
Additional Solicitor General Maninder Singh, representing the Centre, detailed the steps taken by Union home ministry and CBI which is the nodal agency for cybercrimes.
To this, the bench said that if the names of sexual offenders are to be made public then it should be done only after the conviction in the offence, not just after the case is lodged.
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"It will tarnish the image of a person, if he is acquitted in the sexual offence case," it said.
The bench also directed that if the state police finds nothing against a person after probing a sexual offence case, then CBI will not interrogate that person with regard to the cybercrime aspect related to the offence.
It also directed the Centre to include steps to curb sexual violence against children in the list of measures to be taken for curbing crime against women.
"As per the National Crime Records Bureau (NCRB) data there is sharp rise in cases of sexual violence against children," it said.
failure to file its response in a case relating to the posting of rape videos on social networking sites like WhatsApp for 11 months.
CBI in its reply to the plea had said that "commiting such abhorrent crimes, recording them and disseminating them across the world through Internet-enabled media, serves to titillate and indirectly embolden other males to also commit such heinous crimes. These not only add to the misery of existing victims but also endanger and threaten the safety of other innocent women and children".
The agency had said that difficulty with this particular class of cases involving sexual crimes against women that are recorded and then circulated through Internet-enabled media is that her trauma can continue almost endlessly until the sites are blocked and the perpetrators brought to justice.
Earlier, the apex court had asked the information technology ministry to respond on how to block videos of rape cases, circulating on social network websites, under the Protection of Children from Sexual Offences (POCSO) Act.
The ministry's reply was sought after social activist Sunitha Krishnan had submitted that there should be a particular place where one could report the circulation of such rape videos and seek their blocking.
The apex court had earlier sought response of the Centre and the governments of Uttar Pradesh, West Bengal, Odisha, Delhi and Telangana.
The NGO's letter had also mooted the idea of maintaining a National Sex Offenders' Register which should contain details of persons convicted for offences like eve-teasing, stalking, molestation and other sexual assaults.