The plane, which was on a training mission, crashed late on Thursday north of Omdurman, the twin city of the capital Khartoum on the west bank of the Nile.
"Two pilots who were on board were killed in the crash," said military spokesman Brigadier Ahmed Khalifa Shami in a statement released on Friday.
"The plane crashed after it had taken off for a training mission."
On Monday, a military helicopter had crashed in the war-torn region of Darfur as it was landing after a routine mission.
All passengers on board were rescued even as the helicopter caught fire, the army said, without giving any details of how many people were on board.
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