An apex court bench of Justice Dipak Misra and Justice Prafulla C. Pant issued the notice returnable in four weeks.
Petitioner NGO Jan Sewa Sishubhawan said that in Kerala, one hospital alone received 24 patients of dog bites in one day.
Lawyer V.K. Biju sought special protection for school children, saying they were targets of stray dogs.
He also urged the court to permit NGOs and other organisations to cull stray dogs.
The lawyer also sought direction that all the victims of dog bites be given free first aid by all hospitals in the country.
The court tagged the matter with an earlier case related to the culling of stray dogs in Kerala.