Côté's family said he died of natural causes, adding they would share more details later in the day.
The retired lieutenant colonel received France's Legion of Honour award in 2004 for his service during the Second World War.
Members of Parliament gave Côté a standing ovation in the House of Commons after his death was announced by Ottawa-Orleans MP Royal Galipeau and Veterans Affairs Minister Erin O'Toole.
Prime Minister Stephen Harper tweeted his "deepest condolences to the family of WW II Veteran & true Canadian hero, Mr. Ernest Côté" as well.
Côté made headlines after he was tied up and robbed inside his Ottawa apartment. He was left with a plastic bag over his head, but freed himself and called police.
"I was madder than a wasp, and I couldn't do a damn thing, and that's all I could do until he left," Côté said in January. "I was never afraid. I was madder than a wasp. Wasps ain't afraid; they're mad.
"Life is such that when you see these things happen to you, you try to get out. The important thing is to concentrate on how to get out of the position in which you happen to be. If you're afraid and paralyzed, you don't move. I was never afraid. I was not afraid of the landing, the D-Day landing. I was not afraid."
Ian Bush, 59, was arrested and charged with attempted murder following the incident. Last week Bush was charged with three counts of first-degree murder in the deaths of retired judge Alban Garon, his wife Raymonde and neighbour Marie Claire Beniskos, who were all in their 70s.