The dramatic video has emerged soon after aid workers said the so-called Islamic State was shooting civilians as they tried to escape fighting in the city of Fallujah, west of Baghdad.
Footage shows the soldier running out of a shelter with the civilian on his back after he was injured.
Gunshots can be heard ringing out as the soldier runs across the road.
But he does not make it to safety, and is shot in the leg, sending him and his comrade tumbling to the ground.
The footage then shows a tank picking the two men up.
The video is believed to have been shot on Sunday.
It comes after it was warned that a humanitarian disaster is feared in Fallujah as 80,000 people flee the ISIS-held Iraqi city.
More than 10,000 families have fled since the operation to retake the city from ISIS was announced last month, according to the UN.
Aid workers are struggling to provide water, food and shelter as the exodus overwhelms camps run by the Iraqi government and humanitarian groups, ABNA reported.
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