The jet crashed in an open field near Garend Kalaan village in Budgam at 10.05 am, PTI said as it quoted officials.
The jet broke into two and caught fire immediately, the officials said, and added that one body was seen near the site crash.
The identity of the deceased could not be confirmed immediately, the officials said.
Pakistani jets violated the Indian airspace as it entered border areas of Nowshera sector in Jammu and Kashmir’s Rajouri district, PTI said, as it quoted unnamed officials.
The crash happened a day after Indian security forces Indian warplanes struck a JeM training camp in Pakistan's Khyber Pakhtunkhwa province around 80 kilometres from the Line of Control and killed a large number of terrorists.
Tensions between India and Pakistan have escalated after the IAF crossed the border to destroy terror camps.
Earlier, in the day Indian security forces killed two terrorists with links to Jaish-e-Mohammed in an encounter in Shopian.
A gunfight broken out between security forces and terrorists early Wednesday morning in Shopian district.
Three terrorists were believed to be involved in the encounter that began at 4.20 am. The firing, however, stopped around 8.30am after which a search operation was launched in the area.
Five soldiers of the Indian Army were injured in the encounter in Shopian, ANI said, and added that two of these soldiers were taken to a military hospital for treatment and are in stable condition.