It follows a spate of crashes, drink-driving and dangerous driving incidents at Labour Weekend which Senior Sergeant Nick Leigh said was "incredibly disappointing".
Police were called to a crash at the intersection of Hillside Rd and King Edward St, where a car had rear-ended another, at 3.20pm.
Acting Senior Sergeant Anthony Bond said a 27-year-old woman was "driving too close" to a vehicle driven by a 19-year-old man; she had crashed into the man’s car as both vehicles turned into King Edward St.
There was damage to both vehicles and neither had insurance.
An infringement offence notice was being considered for the woman, he said.
Police were later called to a crash where a vehicle had hit a fence after attempting a U-turn in Queen St, at 5pm.
"[The] driver pressed the accelerator instead of brake and hit the fence on other side of street."
A written warning was issued for careless driving, Snr Sgt Bond said.
Police were also called to a two-car crash in Caversham Valley Rd, at 8am, and another two car-crash at the intersection of London and Filleul Sts after one car failed to give way.
