Rapar was the epicentre of the quake which was recorded at 13.50 pm, said a senior official of Institute of Seismological Research (ISR) here.
Kutch district was hit by a devastating earthquake in January 2001.
"An earthquake measuring 3.6 on Richter scale was felt in remote areas of Rapar, Bhimasar and Chitrod in Kutch district," ISR Director General B K Rastogi told PTI.
"The epicentre was 16km south-east of Rapar. It can be attributed to normal background seismicity or migrated seismicity from 2001," he said.
There were no reports of any casualty or damage to property.