“Geelani and the Mirwaiz have been placed under house arrest as a precautionary measure to maintain law and order,” a police official said.
The separatist groups had called for a march to Lal Chowk on Monday to protest civilian deaths during the unrest in the Valley that began on July 9, a day after Hizbul Mujahideen commander Burhan Wani was killed in an encounter with security forces.
Jammu Kashmir Liberation Front chairman Mohammad Yasin Malik was also taken into preventive custody along with several supporters from Sarai Bala area of the city as they were trying to march towards Lal Chowk.
The authorities have sealed off Clock Tower and surrounding areas in Lal Chowk to prevent the separatists from assembling there.
Shops and other business establishments remained closed due to the strike call but transport -- both public and private -- was plying in many parts of the city.
Schools and government offices are closed on Monday due to public holiday to mark the 111th birth anniversary of former chief minister and founder of opposition National Conference Sheikh Mohammad Abdullah.
Reports of shutdown were received from other districts and towns of the Valley but the situation so far is peaceful, the official said.
The unrest in the Valley has left 86 people dead and thousands others, including 5,000 security personnel, injured.
Image for representation only.