Circus spokeswoman Melinda Hartline says the elephant was not seriously hurt Tuesday. She says no other animals were harmed.
The elephant, Carol, is part of a circus in town for a series of performances. The Asian elephant was in an outside area of the Tupelo BancorpSouth Arena.
Police Chief Tony Carleton says a vehicle drove past the arena about 2 a.m. and fired into the area. Police are investigating.
People for the Ethical Treatment of Animals say in a news release that it is offering a $5,000 reward for information leading to the conviction of those responsible. A $250 reward had already been offered.