Users of the internet has been increased exponentially over a period of a decade, and the ease of using the internet has also been seen by a more user friendly interface so a large number of people can access and use the internet daily. Many new social media intermediaries are emerging and are being used by most people using the internet for communication and information. Anyone can access social media platforms and use them for free, the more the number the more is crime. Crimes in this advance technological era have more exponential growth and reach, and social media intermediary are independent from liability under local jurisdiction of any country apart from the country they are having headquarters, and Social media intermediary having fully control over the content being uploaded on their platform and having power to remove that content or promoting any content over their platform for facilitating any crime and still not coming under the jurisdiction of many nations of whose citizens are using it can be very dangerous to maintain law and order in those countries. Specially in cases where social media platforms are being used for communication for mass crimes like genocide, war crimes and crimes against humanity. So in this paper the author particularly discussed regarding the jurisdiction of International criminal court in respect to Rome statue extending responsibility on social media intermediary pertaining to cyberspace usage for the purpose of incitement to genocide. And whether the present legal framework is sufficient to deal with the problem relating to crimes committed on cyberspace or whether new laws are needed which will have potential of dealing with these situation more effectively.