The footage shows one of dozens of bison stampeding through the park as it rams the rental and cracks the windshield. No injuries were reported.
The Casper Star-Tribune reports that a family member caught the scene on video on Aug. 13 after the animals brought traffic to a standstill.
Bison weigh up to 2,000 pounds (900 kilograms) and run up to 30 mph (48 kilometers per hour).
A video shot earlier this summer showed a man petting a bison's head in Yellowstone. Nobody was hurt, but park officials warned visitors to keep their distance.
In July, a bison threw a 9-year-old girl into the air in Yellowstone. She wasn't seriously hurt.