The unmanned aerial vehicle flew back to Pakistan after the Border Security Force troops fired at it Saturday night, they said.
Over the last week, at least five drone activities have been reported in Jammu.
The Indian Army on Tuesday issued a request for information for procuring integrated drone detection systems.
The incident occurred ahead of the annual pilgrimage to the Amarnath cave shrine in south Kashmir Himalayas for which security has been tightened.
Cops deployed in and around Marnaian village were also checking vehicles in the search of the radical preacher.