Jackie Skaggs, a spokeswoman for the park, said the passengers were tourists from Asia. She said 19 people were released after being examined.
The crash occurred Thursday afternoon near Colter Bay Village in Jackson Hole. Skaggs said the bus driver, who was injured in the crash, veered on to the side of the road and then overturned, apparently because the driver turned too sharply to get back to the pavement.
Grand Teton, 10 miles south of Yellowstone National Park, is one of the most visited in the system.