In an advisory, the Home Ministry told the state government that the violence may spread to other parts and asked it to ensure that no such incident is repeated anywhere else.
Assuring all help, the Centre said that adequate forces should be deployed in all sensitive places to maintain law and order, official sources said.
The Home Ministry also said those indulging in violence should be brought to book and action should be initiated against them, they said.
Curfew remained in force in six districts of Jammu region amid deployment of Army. Ten people were arrested in connection with the violence in Kishtwar.