A police official said the curfew was lifted from Doda district including the main town and Bhadarwah along with Paddar and Chatroo sub-divisions of Kishtwar district.
He, however, said section 144 of the Criminal Procedure Code (CrPC) remained in force in these areas as a precautionary measure to maintain law and order.
The killing of the Parihar brothers triggered massive protests across Jammu region, following which the authorities suspended internet services in the curfew-bound areas, while the internet speed was slowed down in the rest of the division, including winter capital Jammu.
The Army also staged a flag march in the sensitive areas to help the district administration in Kishtwar to maintain law and order.
On Thursday, the Parihar brothers were walking towards their home in Parihar mohalla through a dark lane in Tapal Mohalla when they were fired upon from a close range by suspected militants around 8.40 pm, officials said.
The assailants were apparently waiting for the brothers to return home, they said.
The government has constituted a special investigation team (SIT) to probe the killing and directed it to expedite the investigation and submit its report as early as possible.