The incident happened at around 12.30pm today in Cowcaddens Road, Glasgow near the University’s entrance.
An Audi car reportedly struck four pedestrians on the road then crashed into a stationary police car which had two officers inside.
The woman driving the car has been charged over road traffic offences, police said.
The pedestrians and police officers were taken to Glasgow Royal Infirmary for treatment to minor injuries.
The university said police were in the area before the crash because “unauthorised vendors”, such as club and pub promoters, were causing increased congestion outside the university entrance.
“Glasgow Caledonian University regards the safety of its students as paramount and we are extremely concerned that a group of students and other members of the public were injured in a road accident outside the gates of the university in Cowcaddens Road,” a spokesman said.
“We dispatched our own first-aiders to assist but paramedics were quickly on the scene and attended to the injured. Although some were taken to hospital, our current understanding is that no one was seriously injured. The university’s support team is liaising with the injured students and their families.
“As this is Freshers’ Week, the entrance to the university is busier than normal and attracts unauthorised vendors at the public road area which adds to the congestion. We reported this to the police today as this area is a public thoroughfare and police teams were actually on the scene when the accident happened.”