A silver Renault Clio, white Seat Leon and white Audi A3 were in collision on Granville Road at the junction with Norfolk Park Road at about 8pm last night.
The Audi ended up crashing into a wall and the Renault was also badly damaged to the front end.
A South Yorkshire Police spokesperson said the people who were inside the vehicles sustained "minor injuries."
They did not reveal how many people were involved.
The road was closed for a short while as emergency services dealt with the incident and later reopened.