Malik, who heads the JKLF and Bhat were stopped by police at Awantipora and taken into preventive custody, a police officer said.
He said the leaders and some of their associates were detained in order to prevent flaring up of the situation in Tral area where violent clashes were going on between protesters and security forces.
Hundreds of persons pelted stones on the personnel of law enforcing agencies in Tral area after the funeral of Khalid Muzaffar, who was killed in the army operation in forest area near Buchoo village of Tral.
The clashes were going on till reports last came in, the officials said.