The man is the fifth person to die in the fire, which broke out during a training exercise at a grenade range on October 19. Strong winds fanned the flames, which quickly spread to the surrounding area.
A total of 39 people were injured. Of those, 24 are still being treated in hospital.
The Wainwright military base is one of Canada's busiest military training bases, where soldiers train and prepare for combat operations. The base has more than 1,000 personnel.
Prime Minister Mark Carney has promised a thorough investigation into the incident.
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