The collision happened in Sandford Avenue at around 3.30pm on Wednesday and involved two girls.
They were taken to hospital but their injuries were "not thought to be life threatening," according to police.
Paramedics were called to the scene and police urged people to avoid the area while the 999 services dealt with the incident.
West Mercia police said: "The collision was between a Vauxhall Corsa and two girls aged 11 and 12 years-old on Sanford Avenue, Church Stretton.
"Police attended and both girls were taken to hospital with injuries that are not thought to be life threatening."
Sandford Avenue was closed for a time.
A West Midlands Ambulance Service spokeswoman said: "We were called at 3.31pm to Sandford Avenue, Church Stretton to reports of an road traffic collision."
"Two ambulances and a paramedic officer were on scene and two child pedestrians were taken to treated before being taken to hospital."