"It was a military cargo plane and there were six crew on board," said one security official who asked not to be named.
"Four of them died and two were rescued," the official said.
He said the aircraft, which crashed shortly before 0500 GMT belonged to the Ethiopian military.
A thick tower of smoke was seen billowing up from the crash scene and the airport was temporarily closed.
Sources at the airport said a series of explosions was heard as the fire spread along the plane, suggesting it was carrying ammunition or other inflammable products.
Nick Kay, the UN special representative to Somalia, tweeted that he offered his "condolences" for the "tragic crash".
According to the Somalian government spokesman, Ridwan Haji Abdiweli, the plane suffered difficulties on landing.
However, he added that there "was nothing to indicate any external interference", referring to the possibility of an attack.
Flights at the airport resumed on Friday evening.
Ethiopia sent troops into southwest Somalia in 2011 to fight Shebab Islamist insurgents, alongside the Amisom force.
The Ethiopian government confirmed the accident but said the exact cause of the accident was subject to an investigation.
A spokesman for the minister of foreign affairs, Dina Mufti, said they were unable to confirm the number of dead or injured.
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