The plane crashed adjacent to a house in an open area in Mahaveer Nagar, SHO Basni Police Station Rajesh Yadav said.
Two houses reportedly got damaged due to the crash.
The pilot was on a routine training mission. He had reported a technical problem and sought priority landing.
However, as the engine had failed, he had to eject, IAF sources said.
The area has been cordoned off and police officials have reached the spot.
ACP Jodhpur (West) Sima Hingonia said a portion of a house where the plane crashed was damaged.
A Court of Inquiry has been ordered into the incident.