Police say it happened on Todds Road at Kavenaugh Lane.
Officers shut down Todds Road between McFarland Lane and Autumn Ridge Drive after the accident.
They expected traffic to be rerouted till about 7:00pm Monday.
Police say a Fayette County school bus monitor and the driver of the car that reportedly side-swiped the bus were also taken to the hospital.
Police say all of the victims are expected to be okay.