Officers signalled a vehicle to pull over due to the manner of driving about 2.40am on Tram Rd, Ohoka, but the driver failed to stop.
A police spokesman said enquiries are ongoing.
It comes after two drivers were arrested after failing to stop for police in Christchurch this week.
A 37-year-old woman was arrested on Tuesday following a 20-minute police chase from Kaiapoi to Christchurch.
A 46-year-old man was also arrested after failing to stop for dangerous driving on Monday.