Alain Magloire was shot near Montreal's downtown bus station on Monday after police responded to calls about a man threatening people with a hammer.
The coroner's office noted in a statement that Magloire suffered from mental problems and this is not the first time people with psychological problems had died during emergency interventions in recent years.
Coroner Catherine Rudel-Tessier has been mandated to look into the circumstances of Magloire's death and make recommendations.
Quebec provincial police took over the investigation of the shooting from Montreal police immediately afterward under provincial protocols forbidding a police force involved in a fatal incident from investigating itself.
Montreal police said a man tried to strike one of their officers with the hammer and refused to surrender.