JNU's chief security officer Naveen Yadav filed a complaint with the police after the drone-camera was recovered at the hostel on Monday.
The memory card of the camera contains five video recordings of very short durations, Milind Mahadeo Dumbere, deputy commissioner of police (southwest), said.
In the recordings, a boy and a girl can be seen flying the drone. They were yet to be identified.
Efforts were on to identify them, Dumbere added.