National Chief Shawn Atleo says the shootings that left one man dead and two in critical condition must be subject to independent, impartial investigations.
Last weekend Lance Cutarm died while his brother, Larron Cutarm suffered chest wounds after they were shot by a Mountie during a traffic stop southwest of Edmonton.
In Ontario a member of the Oneida of the Thames First Nations was shot by police in an exchange of gunfire.
The shootings are under investigation by government agencies in both provinces.
Atleo says police should only use such force as a last resort.