A police spokesman said the policewoman was on an emergency call when the crash happened at 11.45pm on Tuesday, August 9.
The minibus taxi hit a wall on Branksome Drive in the crash.
The policewoman was taken to hospital but neither driver was seriously injured.
The police car was extensively damaged.
A witness said the minibus also suffered extensive damage.
Please note the police originally said the incident was at 8.45pm but later said the accident happened at 11.45pm.