The incident occurred close to Fath airport west of the capital, Tehran, on Monday, the semi-official news agency said.
Iranian media said the crew of the flight included anywhere from eight to 16 people, with seven bodies already recovered.
The Fars news agency said 16 people were on board and one survivor has so far been found.
A fire engulfed the plane immediately after the crash in the town of Safadasht on Monday, about 50 kilometres southwest of Tehran.
It was flying from Kyrgyzstan to Karaj Payam airport in Iran, but reportedly ended up landing at Fath Airport near Tehran.
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The plane overshot the runway during its landing, Iran's aviation organisation spokesman Reza Jafarzadeh told state broadcaster IRIB. AFP. It showed footage of burning wreckage of the plane and a plume of smoke rising from the crash site.
The plane is believed to have taken off from Bishkek Manas International Airport in Kyrgyzstan before making an emergency landing.
The Iranian air force is investigating the incident.
Saha Airlines' Boeing 707s suffered a previous fatal crash in April 2005, when a flight coming from the Kish island crash-landed at Mehrabad Airport in Tehran, killing three passengers.