The service says 42-year-old Kevin Mukuyama became unresponsive after the RCMP deployed the weapon at a home, at about 4 p.m. Wednesday.
Mukuyama was transported to hospital but died shortly after his arrival.
Insp. Ed Boettcher says the suspect allegedly struggled with police before officers used a weapon.
The Independent Investigations Office is investigating whether any criminal offences were committed by the officers involved.
The coroners service says it may hold an inquest into the fatal outcome and make recommendations to prevent future deaths in similar circumstances.