The smash happened at around 4.30pm in Longford Road.
A Shropshire Fire and Rescue Service spokesman said: "At 4.32pm on Thursday, April 29, we received a call reporting that a road traffic collision had taken place in Newport involving three cars.
"Three fire appliances including the rescue tender were mobilised from Newport, Telford and Wellington. An operations officer was in attendance.
"Two casualties released into care of ambulance."
It is not known how serious the casualties' injuries are at this stage.
Earlier this month, councillors said they were considering steps to improve the narrow road, which runs between Newport and Longford and connects the Haberdashers' Adams Grammar School in Newport town centre with boarding accommodation at Longford Hall.
In some sections the road is only wide enough for one car and has no footpath, despite very high hedges and some blind turns.
Andrew Eade, borough councillor for Church Aston and Lilleshall, said he has heard concerns about the use of the road, and hopes to visit with Telford & Wrekin Council highways officers to see what could be done.