The ambulance service says the injuries are not thought to be serious - but a local school says it would have been 'traumatic' for pupils.
"It could have been really major," said Martin Philpott - who had two children on the bus.
Mr Philpott said it appeared the bus hit the tree while passing the car, with the roof landing on another car belonging to a woman whose son had just got on."One of the boys at the front - he was at the front on the side where the tree was - apparently dropped his phone, he leaned down to pick up his phone and that's when it hit..."Pupils from two schools - Saffron Walden County High School and Joyce Frankland Academy - were on the bus.
It said some students were having cuts and grazes looked at, but that no serious injuries had been reported.
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