Chief Gary Kipling of the North Peace Tribal Police Service says the boy was brought to the Fox Lake nursing station Wednesday afternoon.
Kipling says the baby was unresponsive, so officers were called in, but the child had died by the time they arrived.
Kipling says foul play is not suspected and no one is in custody.
Police believe the baby was the only youngster in the family home at the time.
Details about how he died won't be released until a medical examiner in Edmonton has finished an autopsy.
"We at this time are not in a position to release a cause of death without advice from the medical examiner's office," Kipling said in a telephone interview Thursday.
He said there was nothing suspicious about the child or the home.
"Obviously the family is completely traumatized ... as with any other family. The whole community is being affected by this as would any other community in Alberta or Canada or the world when something like this happens to a young child.
"It affects everybody."
Fox Lake, a community of about 2,000 people along the Slave River, is part of the Little Red River Cree Nation.