"The protest programme, including the proposed strike on August 29, is postponed for the time being as the hearing," separatist leaders, including chairmen of both factions of Hurriyat Conference Syed Ali Shah Geelani and Mirwaiz Umar Farooq, and JKLF chief Yasin Malik said in a statement here.
A new protest schedule would be issued whenever needed, they added.
The Supreme Court agreed to hear after Diwali pleas challenging Article 35 A, relating to special rights and privileges of permanent residents of Jammu and Kashmir.
The case was listed for hearing on August 29 and the separatists had called for a strike across the state that day.
The separatists had earlier issued a protest schedule against the legal challenge to the provision.