The bear's body hit the 25-year-old driver and a 40-year-old man sitting behind her and then shot out of the back window. The bear also died.
The accident happened Monday night in a rural area about 25 miles north of the federal capital Ottawa.
"We don't see (this) often, even if we live in the country. Lots of deer, but collisions with a bear and two people died? That's really rare," local police spokesman Martin Fournel told the Canadian Broadcasting Corp.
Collisions between vehicles and animals are common in Canada, which has a healthy population of large wild animals such as moose and deer.