The two-vehicle crash happened on London Road at around 7.30pm. The extent of the casualties' injuries are not yet known. Police closed the road and urged motorists to avoid the area.
A spokesman said: "Two vehicle collision on London Road, Shrewsbury. Road blocked, please find an alternative route whilst we work to investigate and keep the involved parties safe."
A Shropshire Fire and Rescue spokesman said: "At 7.38pm on Friday, August 5, SFRS Fire Control received a call reporting an RTC in Shrewsbury.
"Incident involved two hatchback vehicles with two casualties. Fire crews made both vehicles electrically safe using small gear. Ambulance and police also in attendance.
"One fire appliance was mobilised from Shrewsbury."