He was the second soldier to die in three days.
The French Defense Ministry said in a statement that a French soldier, Nicolas Latourt, was injured while on duty to train Iraqi security forces. He was taken to hospital in Erbil by helicopter and died.
The French Defense Ministry did not say where the incident occurred on Sunday.
The soldier, who belonged to the Sixth Battalion of Engineers, had participated in training with Iraqi security forces since May this year, on improvised explosive devices and defusing, the statement said.
On November 18, another French soldier was killed and another injured in a traffic accident in Erbil.
France is the second largest military partner with Iraq and has the largest number of troops in the international coalition against ISIS.