A bench of Chief Justice Dipak Misra and Justices AM Khanwilkar and DY Chandrachud said this was a law and order issue and each state has to be responsible.
The bench said it will pass an order on the pleas giving out guidelines to states to deal with the issue.
The bench observed that the instances of vigilantism are not confined to any particular motive but are actually mob violence, which is a crime.,
Additional Solicitor General PS Narasimha said the Centre was alive to the situation and trying to deal with it. He said the main concern was maintaining law and order, which is a state subject.