TEHRAN, Young Journalists Club(YJC)_Amateur video footage showed the US-built aircraft appearing to lose control and nose-diving before it hit the ground and caught fire.
"Wing Commander Noman Akram embraced martyrdom in the crash," an Air Force spokesman told Reuters by telephone.
He was the only pilot in the aircraft, the spokesman said.
The aircraft was taking part in rehearsals for a Pakistan Day air show on March 23.
Rescue teams were working at the site to ascertain if there were any other losses, the Air Force said.
A district administration official said there was little chance of any casualties on the ground as the plane had crashed in the parade ground, which is largely deserted despite being in the heart of the capital.
The air force said it was investigating the cause of the crash.