RCMP say officers found one man dead, and a woman who was injured in the Thornhill area, east of the city of Terrace, on Saturday afternoon.
They say both people appear to have been shot.
The woman was taken to the hospital with a serious, but non-life threatening gun shot wound.
Police have revealed few details, but they say they have taken a man into custody in relation to the incident.
Anyone with information about the alleged shooting is asked to contact the police.