About 10 devotees from Garividi in Vizianagaram district were going to Vijayawada to relinquish their 40-day of Bhavani Deeksha when the accident occurred.
One of the injured was critical and was shifted to Guntur Government General Hospital, Hanuman junction police inspector V Vijaya Rao said.
Four others injured were admitted to Eluru government hospital.
A case has been registered, police added.