However, there was no immediate report of any casualty or damage.
The moderate intensity tremors of 4.8, 5.3 and 5.0 magnitude on the Richter Scale shook the area at 1.28 AM, 1.30 AM and 1.33 AM, Met officials said.
The tremors were followed by aftershocks at 2 AM, 2.12 AM, 2.33 AM, 4.41 AM and 7.30 AM.
A police spokesman said, "Units set up by the government to tackle any exigency have launched operations to assess any damage and conduct rescue operations, if needed".
Authorities had closed all educational institutions after tremors shook Bhaderwah and adjoining areas of Doda district on May 1.
A total of 33 tremors have been recorded in the Bhaderwah-Doda-Kishtwar belt during the past fortnight with maximum 11 on May one.