The driver also died in the tragedy which happened when the vehicle skidded off a hilly road in a mountainous part of the country.
The driver also died when the vehicle skidded off a hilly road and rolled down a gorge in Himachal Pradesh state on Saturday.
Three of the children, aged between five and 14, died at the scene, as did the driver.
The children were students at a school in a remote area of the mountainous state.
In September, 55 people were killed when a bus carrying pilgrims from a Hindu temple in the hills of south India plunged off a road.
Around 150,000 people die every year on India's roads, often because of reckless driving, badly maintained roads and overcrowded vehicles.