The injured students have been identified as Rishika (Class III student), Vishal, Ashutosh, Deepak (students of Class I) and Radhika, (Class V student).
Police said the condition of Radhika, who suffered fracture on both her legs, and Ashutosh, who suffered injuries on his head, is stated to be serious.
According to police, the incident took place around 1.30 PM when a white-colour bus attached with a leading private school of Indirapuram reached near Lal Bahadur Shastri Sainik Secondary School situated in Kavi Nagar.
The officer said the bus hit a car of one R P Agarwal, who came to pick up his son, from behind and then again hit nearby parked school rickshaws and scooters, adding that the injured children came in contact with the bus.
"After the incident, all five students were immediately rushed to the nearby Sarvodaya Hospital where Deepak was discharged after giving first-aid. Vishal, Deepak, Rishika and Radhika are recuperating at the hospital," he said.