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A police spokeswoman said the Eagle helicopter was not involved in either pursuit.
The first chase took place about 8.45pm in Bishopdale but was abandoned by police a short time later.
A police spokeswoman said the pursuit was stopped after about 1min and no arrests were made.
Police were then led on a "slow" chase through Burnside about 9.15pm.
The spokeswoman described it as a "very slow and short fleeing driver incident".
"Police attempted to stop a vehicle, which failed to stop," she said.
"It stopped shortly afterward and police spoke with one person."
It comes after another fleeing driver led police on a pursuit through the city earlier this week.
The chase started on Cobham St in Spreydon about 3.20am on Tuesday after a driver failed to stop for police. It ended on Barrington St near Coronation St when police abandoned the pursuit.
The high number of police chases in Christchurch is a key reason for the introduction of the Eagle helicopter, which started patrolling the city on Monday in a five-week trial.