Bosses at the safari park, near Bewdley, issued a statement after one of the park's white rhinos collided with a car that was travelling through the African reserve.
Keepers checked on the guests after the incident and reported that there were no injuries, and that the rhinoceros was unharmed.
The statement said: "On September 5, one of our rhinos collided with a vehicle within the African reserve. During the incident, our team of trained keepers in patrol vehicles attempted to guide the rhinos away, but unfortunately were unable to prevent the rhino from coming into contact with the car.
"Our keepers attended to the guests, who reported there were no injuries, which is always our main priority.
"As part of the safari drive-through experience, many of our animals are able to roam freely between vehicles and this includes our herd of white rhino. Keepers in patrol vehicles are always in close attendance, to monitor all animal and vehicle movements for the safety of our guests.
"We do state that guests drive their own vehicles at their own risk and these terms and conditions are required to be accepted at the time of booking tickets. We do offer guided minibus tours for those people who do not wish to enter the safari in their own vehicle."